Free Printable Quiz I

1.

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)

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

2.

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)

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

3.

$\int_{ }^{ }\left(2x-1\right)^2dx$

a)

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

b)

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

c)

$\left(x^2-x\right)^2+c$

d)

$\frac{\left(2x-1\right)^3}{3}+c$

4.

∫ 6 x (x² +1 )² dx

a)

( x² + 1)³ + C

b)

3 ( x² + 1)³ + C

c)

( x² + 1)¹ + C

d)

6 ( x² + 1)³ + C

5.

a)

ln(2x²+6) + C

b)

ln(2x²+6)(4x) + C

c)

1/(2x²+6) + C

d)

1/(2x²+6)²+ C

6.

$\int e^{2x}dx$

a)

$2e^{2x}\ +c$

b)

$\ln\left|2x\right|+c$

c)

$\frac{e^{2x}}{\ln2}+c$

d)

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

7.

Evaluate the indefinite integral.

$\int\left(2e^x+\sec x\tan x-\sqrt{x}\right)\ dx$

a)

$2e^x+\sec x-\frac{2}{3}x^{\frac{3}{2}}+C$

b)

$e^x+\sec x-\frac{1}{2}x^{\frac{1}{2}}+C$

c)

$e^{2x}+\csc x-\frac{2}{3}x^{\frac{3}{2}}+C$

d)

$2e^x+\cot x-\frac{1}{2}x^{\frac{1}{2}}+C$

8.

Evaluate the indefinite integral.

$\int\left(-\frac{4}{x^3}+\frac{12}{x^4}\right)\ dx$

a)

$\frac{2}{x^2}-\frac{4}{x^3}+C$

b)

$-\frac{4}{x^2}+\frac{12}{x^3}+C$

c)

$\frac{2}{x^3}-\frac{4}{x^3}+C$

d)

$8x+C$

9.

CHALLENGE!!
Evaluate the indefinite integral.

a)

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

b)

$\frac{31x}{5}+C$

c)

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

d)

$3x^{\frac{2}{3}}+x^{\frac{1}{5}}+C$

10.

$\int_{ }^{ }\left(x+1\right)\left(2x-3\right)dx$

a)

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

b)

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

c)

$\left(\frac{x^2}{2}+x\right)\left(x^2-3x\right)+c$

d)

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

Quiz I

Total questions: 10

Worksheet time: 9mins

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