Free Printable CHAPTER 2 : INTEGRATION (SET1)

1.

Integrate $\sqrt{x}$ with respect to x

a)

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

b)

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

c)

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

d)

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

2.

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

a)

$x^{-1}\ +\ x^{-2}+\ c$

b)

$x^0\ -\ x^{-1}+\ c$

c)

$\ln x+\ x^{-1}+\ c$

d)

$\ln x-\ x^{-1}+\ c$

3.

$\int\left(6\sqrt{x}-1\right)dx$

a)

$6x^{\frac{3}{2}}+x+C$

b)

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

c)

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

d)

I didn't look at my notes to see how to do this one.

4.

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

a)

$2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C$

b)

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

c)

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

d)

Got lazy with fake answers

5.

$\int\left(\frac{4}{x}-e_{ }^x\right)dx$

a)

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

b)

$4\ln\left|x\right|-e^x+C$

c)

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

d)

$4\ln\left|x\right|+e^x+C$

6.

Integrate $\int\left(2x+1\right)^{10}\ dx$ with respect to x.

a)

$22\left(2x+1\right)^{11}+c$

b)

$\frac{1}{22}\left(2x+1\right)^{11}+c$

c)

$11\left(2x+1\right)^{10}+c$

d)

$\frac{1}{11}\left(2x+1\right)^{10}+c$

7.

Find the integral with respect to x of $\int_{ }^{ }\ \left(e^{3x}\right)^2\ dx\ .$

a)

$\frac{e^{6x}}{6}\ +\ c$

b)

$\frac{e^{9x}}{9}\ +\ c$

c)

$6e^{6x}\ +\ c$

d)

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

8.

∫(3x⁴+2)⁴(12x³)dx

a)

½(3x⁴+2)⁴+C

b)

(3x⁴+2)⁴+C

c)

⅕(3x⁴+2)⁵+C

d)

⅓(3x⁴+2)⁶+C

9.

$\int_{ }\frac{4}{5x-6}dx$

a)

$4\ln\left|5x-6\right|+c$

b)

$\frac{4}{5}\ln\left|5x-6\right|+c$

c)

$\frac{4}{5}\ln\left|5x-6\right|$

d)

$\ln\left|5x-6\right|+c$

10.

$\int_{ }\frac{\left(\ln3x\right)^4}{x}dx$ by using method of substitution.

a)

$\frac{u^5}{5}$

b)

$\frac{\left(\ln3x\right)^5}{5}+c$

c)

$\ln3x+c$

d)

$\frac{\ln3x}{5}+c$

CHAPTER 2 : INTEGRATION (SET1)

Total questions: 10

Worksheet time: 12mins

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