∫ 12 sin ⁡ x d x = \int12\ \sin\ x\ dx\ =_{ } ∫ 1 2 sin x d x =

− 12 cos ⁡ x + C -12\ \cos\ x\ +\ C − 1 2 cos x + C

12 cos ⁡ x + C 12\ \cos\ x\ +\ C 1 2 cos x + C

1 12 cos ⁡ x + C \frac{1}{12}\cos\ x\ +\ C 1 2 1 cos x + C

− 1 12 cos ⁡ x + C -\frac{1}{12}\cos\ x\ +\ C − 1 2 1 cos x + C

∫ sin ⁡ 9 x d x \int_{ }^{ }\sin\ 9x\ dx ∫ sin 9 x d x

− 1 9 cos ⁡ 9 x + C -\frac{1}{9}\cos\ 9x\ +\ C − 9 1 cos 9 x + C

1 9 cos ⁡ 9 x + C \frac{1}{9}\cos\ 9x\ +\ C 9 1 cos 9 x + C

∫ 7 cos ⁡ x d x = \int_{ }^{ }7\cos\ x\ dx\ =\ ∫ 7 cos x d x =

7 sin ⁡ x + C 7\ \sin\ x\ +\ C 7 sin x + C

− 7 sin ⁡ x + C -7\ \sin\ x\ +\ C − 7 sin x + C

1 7 sin ⁡ x + C \frac{1}{7}\ \sin\ x\ +\ C 7 1 sin x + C

sin ⁡ 7 x + C \ \sin7x\ +\ C sin 7 x + C

∫ 2 sin ⁡ 7 x d x = \int_{ }2\sin\ 7x\ dx\ = ∫ 2 sin 7 x d x =

− 2 7 cos ⁡ 7 x + C -\frac{2}{7}\cos\ 7x\ +\ C − 7 2 cos 7 x + C

7 cos ⁡ 7 x + C 7\cos\ 7x\ +\ C 7 cos 7 x + C

2 cos ⁡ 7 x + C 2\cos\ 7x\ +\ C 2 cos 7 x + C

2 7 cos ⁡ 7 x + C \frac{2}{7}\cos\ 7x\ +\ C 7 2 cos 7 x + C

∫ sin ⁡ ( 5 x + 12 ) d x = \int_{ }^{ }\sin\ \left(\ 5x\ +\ 12\ \right)\ dx\ = ∫ sin ( 5 x + 1 2 ) d x =

− 1 5 cos ⁡ ( 5 x + 12 ) + C -\frac{1}{5}\cos\ \left(\ 5x\ +\ 12\ \right)\ +\ C − 5 1 cos ( 5 x + 1 2 ) + C

1 12 cos ⁡ ( 5 x + 12 ) + C \frac{1}{12}\cos\ \left(\ 5x\ +\ 12\right)+\ C 1 2 1 cos ( 5 x + 1 2 ) + C

1 5 cos ⁡ ( 5 x + 12 ) + C \frac{1}{5}\cos\ \left(\ 5x\ +\ 12\right)+\ C 5 1 cos ( 5 x + 1 2 ) + C

1 5 cos ⁡ ( 5 x ) + C \frac{1}{5}\cos\ \left(\ 5x\ \right)+\ C 5 1 cos ( 5 x ) + C

∫ cos ⁡ ( 2 − 7 x ) d x = \int_{ }^{ }\cos\ \left(2-7x\right)\ dx\ = ∫ cos ( 2 − 7 x ) d x =

− 1 7 sin ⁡ ( 2 − 7 x ) + C -\frac{1}{7}\sin\ \left(\ 2-7x\right)\ +\ C − 7 1 sin ( 2 − 7 x ) + C

1 7 sin ⁡ ( 2 − 7 x ) + C \frac{1}{7}\sin\ \left(\ 2-7x\right)\ +\ C 7 1 sin ( 2 − 7 x ) + C

− 1 2 sin ⁡ ( 2 − 7 x ) + C -\frac{1}{2}\sin\ \left(\ 2-7x\right)\ +\ C − 2 1 sin ( 2 − 7 x ) + C

− 2 7 sin ⁡ ( 2 − 7 x ) + C -\frac{2}{7}\sin\ \left(\ 2-7x\right)\ +\ C − 7 2 sin ( 2 − 7 x ) + C

∫ 2 cos ⁡ ( 6 + 3 x ) d x = \int_{ }^{ }2\cos\left(6+3x\right)\ dx\ = ∫ 2 cos ( 6 + 3 x ) d x =

2 3 sin ⁡ ( 6 + 3 x ) + C \frac{2}{3}\sin\ \left(6+3x\right)\ +\ C 3 2 sin ( 6 + 3 x ) + C

2 6 sin ⁡ ( 6 + 3 x ) + C \frac{2}{6}\sin\ \left(6+3x\right)\ +\ C 6 2 sin ( 6 + 3 x ) + C

1 6 sin ⁡ ( 6 + 3 x ) + C \frac{1}{6}\sin\ \left(6+3x\right)\ +\ C 6 1 sin ( 6 + 3 x ) + C

2 3 x sin ⁡ ( 6 + 3 x ) + C \frac{2}{3x}\sin\ \left(6+3x\right)\ +\ C 3 x 2 sin ( 6 + 3 x ) + C

Evaluate: ∫ ( 5 sin ⁡ ⁡ x − 4 cos ⁡ ⁡ x ) d x ∫(5\sin⁡x-4\cos⁡x)dx ∫ ( 5 sin ⁡ x − 4 cos ⁡ x ) d x

− 5 cos ⁡ ⁡ x − 4 sin ⁡ ⁡ x + C -5\cos⁡x-4\sin⁡x+C − 5 cos ⁡ x − 4 sin ⁡ x + C

5 sin ⁡ ⁡ x − 4 cos ⁡ ⁡ x + C 5\sin⁡x-4\cos⁡x+C 5 sin ⁡ x − 4 cos ⁡ x + C

5 cos ⁡ ⁡ x + 4 sin ⁡ ⁡ x + C 5\cos⁡x+4\sin⁡x+C 5 cos ⁡ x + 4 sin ⁡ x + C

Evaluate: ∫ sin ⁡ ⁡ θ cot ⁡ ⁡ θ d θ ∫\sin⁡θ\cot⁡θdθ ∫ sin ⁡ θ cot ⁡ θ d θ

cos ⁡ ⁡ θ + C \cos⁡θ+C cos ⁡ θ + C

sin ⁡ ⁡ θ + C \sin⁡θ+C sin ⁡ θ + C

cot ⁡ ⁡ θ + C \cot⁡θ+C cot ⁡ θ + C

Evaluate: ∫ sec ⁡ ⁡ u cot ⁡ u d u ∫\frac{\sec⁡u}{\cot u}du ∫ cot u sec ⁡ u d u

sec ⁡ u + C \sec u+C sec u + C

sec ⁡ ⁡ u tan ⁡ u + C \sec⁡u\tan u+C sec ⁡ u tan u + C

tan ⁡ u + C \tan u+C tan u + C

Integrate sin ⁡ ( x 2 ) \sin\left(\frac{x}{2}\right) sin ( 2 x ) with respect to x

− 2 cos ⁡ ( x 2 ) + c -2\cos\left(\frac{x}{2}\right)\ +\ c − 2 cos ( 2 x ) + c

cos ⁡ ( x 2 ) + c \cos\left(\frac{x}{2}\right)\ +\ c cos ( 2 x ) + c

− cos ⁡ ( x 2 ) + c -\cos\left(\frac{x}{2}\right)\ +\ c − cos ( 2 x ) + c

− 1 2 cos ⁡ ( x 2 ) + c -\frac{1}{2}\cos\left(\frac{x}{2}\right)\ +\ c − 2 1 cos ( 2 x ) + c

∫ sin ⁡ ( 5 x ) d x \int_{ }^{ }\sin\left(5x\right)dx ∫ sin ( 5 x ) d x

− 1 5 cos ⁡ ( 5 x ) + C -\frac{1}{5}\cos\left(5x\right)+C − 5 1 cos ( 5 x ) + C

1 5 cos ⁡ ( 5 x ) + C \frac{1}{5}\cos\left(5x\right)+C 5 1 cos ( 5 x ) + C

∫ csc ⁡ x cot ⁡ x d x \int_{ }^{ }\csc x\cot xdx ∫ csc x cot x d x

− csc ⁡ x -\csc x − csc x

− cot ⁡ x -\cot x − cot x

∫ cosec ⁡ ( 4 x ) cot ⁡ ( 4 x ) d x \int_{ }^{ }\operatorname{cosec}\left(4x\right)\cot\left(4x\right)dx ∫ c o s e c ( 4 x ) cot ( 4 x ) d x

− cosec ⁡ ( 4 x ) 4 + c -\frac{\operatorname{cosec}\left(4x\right)}{4}+c − 4 c o s e c ( 4 x ) + c

4 cosec ⁡ ( 4 x ) + c 4\operatorname{cosec}\left(4x\right)+c 4 c o s e c ( 4 x ) + c

− 4 cosec ⁡ ( 4 x ) + c -4\operatorname{cosec}\left(4x\right)+c − 4 c o s e c ( 4 x ) + c

cosec ⁡ ( 4 ) + c \operatorname{cosec}\left(4\right)+c c o s e c ( 4 ) + c

∫ sin ⁡ ( x 2 ) d x \int_{ }\sin\left(\frac{x}{2}\right)\ dx ∫ sin ( 2 x ) d x

− 2 cos ⁡ ( x 2 ) + c -2\cos\left(\frac{x}{2}\right)+c − 2 cos ( 2 x ) + c

1 2 cos ⁡ ( x 2 ) + c \frac{1}{2}\cos\left(\frac{x}{2}\right)\ +\ c 2 1 cos ( 2 x ) + c

− 1 2 sin ⁡ ( x 2 ) + c -\frac{1}{2}\sin\left(\frac{x}{2}\right)+c − 2 1 sin ( 2 x ) + c

2 cos ⁡ ( x 2 ) + c 2\cos\left(\frac{x}{2}\right)+c 2 cos ( 2 x ) + c

Trigonometric Integration

Authored by Harry Williams

Mathematics

11th - 12th Grade

CCSS covered

Used 23+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

34 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int12\ \sin\ x\ dx\ =_{ }$

$12\ \cos\ x\ +\ C$

$-12\ \cos\ x\ +\ C$

$\frac{1}{12}\cos\ x\ +\ C$

$-\frac{1}{12}\cos\ x\ +\ C$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int_{ }^{ }\sec^2\ 5x\ dx\ =\$

$\frac{1}{5}\tan\ x\ +\ C$

$5\tan\ 5x\ +\ C$

$\frac{1}{5x}\tan\ 5x\ +\ C$

$\frac{1}{5}\tan\ 5x\ +\ C$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int_{ }^{ }\sin\ 9x\ dx$

$\frac{1}{9}\cos\ 9x\ +\ C$

$-\frac{1}{9}\cos\ 9x\ +\ C$

$9\cos\ 9x\ +\ C$

$-9\cos\ 9x\ +\ C$

$\int_{ }^{ }4\ \sec^2\ x\ \ dx\ =$

$4\ \tan\ 4x\ +\ C$

$\tan4x\ +\ C$

$4\ \tan\ x\ +\ C$

$\frac{1}{4}\ \tan\ x\ +\ C$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int_{ }^{ }7\cos\ x\ dx\ =\$

$-7\ \sin\ x\ +\ C$

$7\ \sin\ x\ +\ C$

$\frac{1}{7}\ \sin\ x\ +\ C$

$\ \sin7x\ +\ C$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int_{ }2\sin\ 7x\ dx\ =$

$7\cos\ 7x\ +\ C$

$2\cos\ 7x\ +\ C$

$\frac{2}{7}\cos\ 7x\ +\ C$

$-\frac{2}{7}\cos\ 7x\ +\ C$

$\int_{ }^{ }2\sec^2\ 5x\ dx\ =$

$\frac{2}{5}\tan\ 5x\ +\ C\$

$\frac{1}{5}\tan\ 5x\ +\ C\$

$\frac{2}{5}\tan\ x\ +\ C\$

$\frac{1}{5}\tan\ x\ +\ C\$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int_{ }^{ }\sin\ \left(\ 5x\ +\ 12\ \right)\ dx\ =$

$-\frac{1}{5}\cos\ \left(\ 5x\ +\ 12\ \right)\ +\ C$

$\frac{1}{12}\cos\ \left(\ 5x\ +\ 12\right)+\ C$

$\frac{1}{5}\cos\ \left(\ 5x\ +\ 12\right)+\ C$

$\frac{1}{5}\cos\ \left(\ 5x\ \right)+\ C$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int_{ }^{ }\cos\ \left(2-7x\right)\ dx\ =$

$\frac{1}{7}\sin\ \left(\ 2-7x\right)\ +\ C$

$-\frac{1}{7}\sin\ \left(\ 2-7x\right)\ +\ C$

$-\frac{1}{2}\sin\ \left(\ 2-7x\right)\ +\ C$

$-\frac{2}{7}\sin\ \left(\ 2-7x\right)\ +\ C$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int_{ }^{ }2\cos\left(6+3x\right)\ dx\ =$

$\frac{2}{6}\sin\ \left(6+3x\right)\ +\ C$

$\frac{1}{6}\sin\ \left(6+3x\right)\ +\ C$

$\frac{2}{3}\sin\ \left(6+3x\right)\ +\ C$

$\frac{2}{3x}\sin\ \left(6+3x\right)\ +\ C$

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

35 questions

ASSESMEN MADRASAH BERBASIS ANDROID T.A 2022/2023 MIN 1 TAKALAR

Quiz

•

12th Grade

30 questions

Final Vedic Math Quiz Group 2

Quiz

•

6th - 12th Grade

30 questions

Translating Verbal Phrases to Algebraic Expression

Quiz

•

7th Grade - University

31 questions

مراجعة اللوغاريتمات والدوال الاسية

Quiz

•

12th Grade

34 questions

domini e limiti di funzioni

Quiz

•

11th - 12th Grade

30 questions

SOAL UJIAN KELAS 6

Quiz

•

12th Grade

30 questions

06_Mat.Pem_24_11 IPA

Quiz

•

11th Grade

30 questions

Multiplication (2 digit x 1 digit) Little Brainies

Quiz

•

11th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

20 questions

Christmas Lyrics

Quiz

•

12th Grade

15 questions

Mock Fall Final

Quiz

•

9th - 12th Grade

23 questions

Rational Exponents and Simplifying using Exponent Properties

Quiz

•

9th - 12th Grade

12 questions

Polynomials 7-1/7-2/7-3

Lesson

•

9th - 12th Grade

13 questions

Congruent Triangle Proofs

Quiz

•

9th - 12th Grade

14 questions

Permutations and Combinations

Quiz

•

9th - 12th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

11 questions

73 WarmUp: Graphing SOE/Ineqs

Quiz

•

9th - 12th Grade

Trigonometric Integration

∫12 sin⁡ x dx =\int12\ \sin\ x\ dx\ =_{ }∫12 sin x dx =​

∫sec⁡2 5x dx = \int_{ }^{ }\sec^2\ 5x\ dx\ =\ ∫​sec2 5x dx =

∫sin⁡ 9x dx\int_{ }^{ }\sin\ 9x\ dx∫​sin 9x dx

∫4 sec⁡2 x dx =\int_{ }^{ }4\ \sec^2\ x\ \ dx\ =∫​4 sec2 x dx =

∫7cos⁡ x dx = \int_{ }^{ }7\cos\ x\ dx\ =\ ∫​7cos x dx =

∫2sin⁡ 7x dx =\int_{ }2\sin\ 7x\ dx\ =∫​2sin 7x dx =

∫2sec⁡2 5x dx =\int_{ }^{ }2\sec^2\ 5x\ dx\ =∫​2sec2 5x dx =

∫sin⁡ ( 5x + 12 ) dx =\int_{ }^{ }\sin\ \left(\ 5x\ +\ 12\ \right)\ dx\ =∫​sin ( 5x + 12 ) dx =

∫cos⁡ (2−7x) dx =\int_{ }^{ }\cos\ \left(2-7x\right)\ dx\ =∫​cos (2−7x) dx =

∫2cos⁡(6+3x) dx =\int_{ }^{ }2\cos\left(6+3x\right)\ dx\ =∫​2cos(6+3x) dx =

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

$\int12\ \sin\ x\ dx\ =_{ }$

$\int_{ }^{ }\sec^2\ 5x\ dx\ =\$

$\int_{ }^{ }\sin\ 9x\ dx$

$\int_{ }^{ }4\ \sec^2\ x\ \ dx\ =$

$\int_{ }^{ }7\cos\ x\ dx\ =\$

$\int_{ }2\sin\ 7x\ dx\ =$

$\int_{ }^{ }2\sec^2\ 5x\ dx\ =$

$\int_{ }^{ }\sin\ \left(\ 5x\ +\ 12\ \right)\ dx\ =$

$\int_{ }^{ }\cos\ \left(2-7x\right)\ dx\ =$

$\int_{ }^{ }2\cos\left(6+3x\right)\ dx\ =$