Free Printable Indefinite Integrals QUIZ

1.

True or False
If $f'\left(x\right)=g'\left(x\right)$ then $f\left(x\right)=g\left(x\right)$

a)

True

b)

False

2.

$\int_{ }^{ }\left(f\left(x\right)\cdot g'\left(x\right)+g\left(x\right)\cdot f'\left(x\right)\right)dx=f\left(x\right)\cdot g\left(x\right)+c$

True or False

a)

True

b)

False

3.

Find the antiderivative of: $\int_{ }^{ }9x^{2\ }dx$

a)

$18x\ +c$

b)

$3x^3$

c)

$3x^3+\ c$

d)

$27x^3+c$

4.

Find the antiderivative of: $\int_{ }^{ }\sqrt{x}\ \ dx$

a)

$\frac{1}{\sqrt{x}}+c$

b)

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

c)

$\frac{1}{2\ }x^{\frac{3}{2}}+c$

d)

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

5.

Find the antiderivative : $\int_{ }^{ }\ \frac{4}{7x}dx$

a)

$-\frac{4}{7}\ \ln\left(x\right)\ +c$

b)

$\frac{4}{7}\ln\left(x\right)+c$

c)

$\frac{4}{7}x\ +c$

d)

$\frac{4}{7}\ln\left(x\right)$

6.

Find the antiderivative of: $\int_{ }^{ }\ \left(-5\csc^2\left(x\right)-9\sec^2\left(x\right)\right)dx$

a)

$-5\tan\left(x\right)-9\cot\left(x\right)+c$

b)

$5\tan\left(x\right)-9\cot\left(x\right)+c$

c)

$5\cot\left(x\right)-9\tan\left(x\right)+c$

d)

$5\cot\left(x\right)\ +9\tan\left(x\right)+c$

7.

Find the antiderivative of: $\int_{ }^{ }\left(e^x-\cos\left(x\right)\right)dx$

a)

$e^{2x}-\sin\left(x\right)+c$

b)

$e^x-\sin\left(x\right)$

c)

$e^x-\sin\left(x\right)+c$

d)

$e^x+\sin\left(x\right)+c$

8.

Find the antiderivative of: $\int_{ }^{ }\left(\sin\left(x\right)-5\sec\left(x\right)\tan\left(x\right)\right)\ dx$

a)

$-\cos\left(x\right)-5\sec\left(x\right)+c$

b)

$\cos\left(x\right)-5\sec\left(x\right)+c$

c)

$\sin\left(x\right)-5\sec\left(x\right)+c$

d)

$-\cos\left(x\right)-5\sec\left(x\right)\tan\left(x\right)+c$

9.

Find the antiderivative of: $\int_{ }^{ }\left(\frac{4}{x^{\frac{3}{2}}}+7\csc\left(x\right)\cot\left(x\right)\right)dx$

a)

$-8\sqrt{x}-7\csc\left(x\right)+c$

b)

$\frac{8}{\sqrt{x}}+7\csc\left(x\right)+c$

c)

$\frac{8}{\sqrt{x}}-7\csc\left(x\right)+c$

d)

$-\frac{8}{\sqrt{x}}-7\csc\left(x\right)+c$

10.

What was your favorite part of Calculus(honors) this school year?

4 lines

Indefinite Integrals QUIZ

Total questions: 10

Worksheet time: 52mins

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