Find the indefinite integral. ∫ ( 18 x 1 5 5 ) d x \int_{ }^{ }\left(\frac{18x^{\frac{1}{5}}}{5}\right)dx ∫ ( 5 1 8 x 5 1 ) d x

3 x 6 5 + C 3x^{\frac{6}{5}}+C 3 x 5 6 + C

18 x 5 + C \frac{18x}{5}+C 5 1 8 x + C

18 x 6 5 5 + C \frac{18x^{\frac{6}{5}}}{5}+C 5 1 8 x 5 6 + C

3 x 1 5 + C 3x^{\frac{1}{5}}+C 3 x 5 1 + C

∫ ( 2 x ) d x \int\left(2\sqrt{x}\right)^{ }dx ∫ ( 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ) d x

4 3 x 3 2 + c \frac{4}{3}x^{\frac{3}{2}}+c 3 4 x 2 3 + c

2 3 x 3 2 + c \frac{2}{3}x^{\frac{3}{2}}+c 3 2 x 2 3 + c

x 3 2 + c x^{\frac{3}{2}}+c x 2 3 + c

x 3 2 2 + c \frac{x^{\frac{3}{2}}}{2}+c 2 x 2 3 + c

∫ 4 x d x \int_{ }^{ }\ \frac{4}{\sqrt{x}}dx ∫ x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 4 d x

8 x + C 8\sqrt{x}+C 8 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + C

2 x + C 2\sqrt{x}+C 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + C

4 x x + C \frac{4x}{\sqrt{x}}+C x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 4 x + C

Antiderivatives Practice

Quiz

•

Mathematics

•

11th Grade - University

•

Practice Problem

•

Easy

•

CCSS

HSA.APR.A.1, HSF.BF.B.5, HSF.IF.C.8

+5

Standards-aligned

Deborah Riemer

Used 21+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫(4 - 18x)dx

F(x) = -18

F(x) = 4x - 9x²

F(x) = 4x - 9x²+ C

F(x) = (4 - 18x)² /2 + C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫ t⁶ dt

6t⁵

6t⁵ + C

1/7 t⁷ + C

t⁷ + C

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫ 1/x dx

ln x

ln x + C

-1/x²

-1/x² + C

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫ - sinx dx

-cos x + C

cos x + C

tan x + C

1/√1- x²

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫ 3e^x dx

e^x /3

e^x + C

3e^x+1/(x+ 1) + C

3e^x+ C

Tags

CCSS.HSF.IF.C.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫ 4 dx

0

4t + C

4x + C

2x² + C

Tags

CCSS.HSF.IF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫(4/x - e^x ) dx

4ln x - e^x

4 ln x + e^x+ C

4 ln x - e^x + C

4/x² - 4e^x+ C

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSF.BF.B.5

Create a free account and access millions of resources

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

0 questions

Types of Functions

Quiz

•

0 questions

Quiz on the topic Antiderivatives - April 28 2023

Quiz

•

0 questions

Antiderivative (Integration) Practice Day 2 (including 1/x = lnx

Quiz

•

0 questions

Antiderivative Quizizz

Quiz

•

0 questions

Algebra 2 SBA

Quiz

•

0 questions

Review domain, range.

Quiz

•

0 questions

Parent Functions

Quiz

•

Popular Resources on Wayground

5 questions

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

Quiz

•

1st - 5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd 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

Discover more resources for Mathematics

11 questions

Solve Systems of Equations and Inequalities

Quiz

•

9th - 12th Grade

17 questions

Identify Linear and Nonlinear Functions

Quiz

•

8th - 12th Grade

15 questions

Identify Triangle Congruence Postulates

Quiz

•

9th - 12th Grade

12 questions

Combine Like Terms

Quiz

•

6th - 12th Grade

20 questions

Multi-Step Equations and Variables on Both Sides

Quiz

•

9th - 12th Grade

20 questions

Multiplication and Division Facts

Quiz

•

3rd - 12th Grade

30 questions

Unit 1 Final Review

Quiz

•

9th - 12th Grade

17 questions

Triangle Congruence Theorems

Quiz

•

9th - 11th Grade

Antiderivatives Practice