Integration

Integration

12th Grade

20 Qs

quiz-placeholder

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Integration

Integration

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Easy

CCSS
HSF.BF.B.5, HSF-BF.B.4A, 7.EE.A.1

+5

Standards-aligned

Created by

ramaa samuel-mohammed

Used 43+ times

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (θ2cos(θ))dθ\int_{ }^{ }\left(\theta^2-\cos\left(\theta\right)\right)d\theta  

 θ33 sinθ + C\frac{\theta^3}{3}\ -\sin\theta\ +\ C  

 θ33+sinθ + C\frac{\theta^3}{3}+\sin\theta\ +\ C  

 3θ3 +sinθ + C3\theta^3\ +\sin\theta\ +\ C  

 3θ3 sinθ + C3\theta^3-\ \sin\theta\ +\ C  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (x32+ 5x  6)dx\int_{ }^{ }\left(x^{\frac{3}{2}^{ }}+\ 5x\ -\ 6\right)dx  

 23x5252x2 6x +C\frac{2}{3}x^{\frac{5}{2}}-\frac{5}{2}x^2\ -6x\ +C  

 25x52+52x26x + C\frac{2}{5}x^{\frac{5}{2}}+\frac{5}{2}x^2-6x\ +\ C  

 52x52+ 52x2 6x + C\frac{5}{2}x^{\frac{5}{2}}+\ \frac{5}{2}x^2-\ 6x\ +\ C  

 x5252+10x2  6x  C\frac{x^{\frac{5}{2}}}{\frac{5}{2}}+10x^2\ -\ 6x\ -\ C  

Tags

CCSS.7.EE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (3sec2(3x))dx\int_{ }^{ }\left(3\sec^2\left(3x\right)\right)dx  

 tan(3x) + C\tan\left(3x\right)\ +\ C  

 3tan(3x)+C3\tan\left(3x\right)+C  

 tan(3x)3+ C\frac{\tan\left(3x\right)}{3}+\ C  

 3tan(x)3+ C\frac{3\tan\left(x\right)}{3}+\ C  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (sin2θ+cos2θ)dθ\int_{ }^{ }\left(\sin^2\theta+\cos^2\theta\right)d\theta  

 θC\theta-C  

 1 + C1\ +\ C  

 x+ Cx+\ C  

 cos2θ2+sin2θ2+C-\frac{\cos^2\theta}{2}+\frac{\sin^2\theta}{2}+C  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

  1x+ 1x2 dx\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx  

 x1 + x2+ cx^{-1}\ +\ x^{-2}+\ c  

 x0  x1+ cx^0\ -\ x^{-1}+\ c  

 lnx+ x1+ c\ln x+\ x^{-1}+\ c  

 lnx x1+ c\ln x-\ x^{-1}+\ c  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (5x316e4x+1x)dx\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx  

 2x52+4x4x+lnx+C2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C  

 5x134e4x+1+C5x^{\frac{1}{3}}-4e^{-4x}+1+C  

 52x3216e4x+lnx+C\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C  

Got lazy with fake answers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 12xdx\int_{ }^{ }\frac{\text{1}}{\text{2x}}dx  

 =ln2x+c=\ln2x+c  

 =2 ln2x+c=2\ \ln2x+c  

 =12ln2x+c=\frac{1}{2}\ln2x+c  

 =1ln2x+c=\frac{1}{\ln2x}+c  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

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