Free Printable Integrating Polynomials

1.

Which of the following is the indefinite integral of $\frac{x^3}{2}+7$ ?

a)

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

b)

$\frac{3x^2}{2}+7x+c$

c)

$\frac{x^4}{8}+7x+c$

d)

$\frac{x^4}{8}+c$

2.

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

a)

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

b)

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

c)

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

d)

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

3.

$\int\left(x^2-2x\right)dx$

a)

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

b)

$x^{2\ }-2x+C$

c)

$2x-2$

d)

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

4.

$\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx$

a)

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

b)

$\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C$

c)

$-x^{-1}-3x^{-2}$

d)

$-x-3x^2+C$

5.

$\int8x^{-3}dx$

a)

$-2x^{-4}+C$

b)

$4x^{-3}+C$

c)

$\frac{8}{-3}x^{-2}$

d)

$-4x^{-2}+C$

6.

$\int8x^{-3}dx$

a)

$-2x^{-4}+C$

b)

$4x^{-3}+C$

c)

$\frac{8}{-3}x^{-2}$

d)

$-4x^{-2}+C$

7.

$\int5x^4dx$

a)

$x^5$

b)

$\frac{5}{4}x^5+C$

c)

$x^5+C$

d)

$20x^3$ + C

8.

$\int6x\left(x+2\right)dx$

a)

$6x^2+12x+C$

b)

$x^{2\ }-2x+C$

c)

$3x^2+6x+C$

d)

$2x^3+6x^2+C$

9.

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)

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

10.

Which of the following is the indefinite integral of $\frac{x^3}{2}+7$ ?

a)

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

b)

$\frac{3x^2}{2}+7x+c$

c)

$\frac{x^4}{8}+7x+c$

d)

$\frac{x^4}{8}+c$

Integrating Polynomials

Total questions: 10

Worksheet time: 5mins

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