Free Printable Integral

1.

$\int\ 8x\ dx$

a)

$4x^2\$

b)

$8$

c)

$4x^2\ +\ C$

d)

$8x^2+C$

2.

$\int\ \frac{6}{x^3}\ dx$

a)

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

b)

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

c)

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

d)

$-3x^2\ +c$

3.

$\int x^2\sqrt{x}\ dx$

a)

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

b)

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

c)

$\frac{2}{5}x^{\frac{5}{2}}+\ c$

d)

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

4.

$\int\left(\frac{x^6-x\sqrt{x}}{x^3}\right)\ dx$

a)

$\frac{1}{4}x^4-\frac{2}{\sqrt{x}}+c$

b)

$\frac{1}{4}x^4+\frac{2}{\sqrt{x}}+c$

c)

$\frac{1}{4}x^4-\frac{1}{2}\sqrt{x}+c$

d)

$\frac{1}{4}x_{ }^4+\frac{1}{2\sqrt{x}}+c$

5.

$\int\left(2x+1\right)dx$

a)

$x^2+c$

b)

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

c)

$x^2+x+c$

d)

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

6.

$\int\left(x^2-2x+5\right)dx$

a)

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

b)

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

c)

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

d)

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

7.

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

a)

$\frac{1}{4}x^4+\frac{2}{3}x^3+c$

b)

$\frac{1}{4}x^4+\frac{1}{3}x^3+c$

c)

$\frac{1}{4}x^4+2x^3+c$

d)

$\frac{1}{4}x^4+x^3+c$

8.

$\int\left(x^2+3\right)^2\ dx$

a)

$\frac{1}{5}x^5\ +\ 2x^3+9x\ +\ c$

b)

$x^4+6x^2+9\ +c$

c)

$\frac{1}{5}x^5+x^3+9x+c$

d)

$\frac{1}{5}x^5+2x^3+6x+c$

9.

$\int\left(3x-\frac{2}{x^2}\right)^2\ dx$

a)

$3x^2+4x^{-1}-\frac{4}{3}x^{-3}+c$

b)

$3x^3+4x^{-1}+\frac{2}{3}x^{-3}+c$

c)

$3x^3+4x^{-1}+\frac{4}{3}x^{-3}+c$

d)

$9x^2-4x^{-2}+4x^{-4}+c$

10.

$f'\left(x\right)=x^2-2x-4\ dan\ f\left(3\right)=8,\ maka\ f\left(x\right)=....$

a)

$\frac{1}{3}x^3-x^2-4x-20$

b)

$\frac{1}{3}x^3-x^2-4x+4$

c)

$\frac{1}{3}x^3-x^2-4x-4$

d)

$\frac{1}{3}x^3-x^2-4x+20$

11.

$f'(x)=(x-2)(x-4)\ danf(3)=1,\ \ makaf(x)=...$

a)

$\frac{1}{3}x^3-3x^2+8x+5$

b)

$\frac{1}{3}x^3-3x^2+8x-5$

c)

$\frac{1}{3}x^3-3x^2+8x+7$

d)

$\frac{1}{3}x^3-6x^2+8x+7$

12.

$Diketahui\ f'\left(x\right)\ =\ 2\left(3x^2-1\right)\ dan\ f\left(-1\right)=5.\ maka\ nilai\ f\left(2\right)\ =\ ...$

a)

$2x^3-2x+9$

b)

$6x^2-2x+5$

c)

$2x^3-2x+5$

d)

$6x^3-2x+5$

13.

$\int\ 4x^3\left(x^4-1\right)^2\ dx$

a)

$\left(x^4-1\right)^3+c$

b)

$\frac{1}{3}\left(x^4-1\right)^3+c$

c)

$\frac{4}{3}\left(x^4-1\right)^3+c$

d)

$4\left(x^4-1\right)^3+c$

14.

$\int3x^2\sqrt{x^3-1}\ \ dx$

a)

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

b)

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

c)

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

d)

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

15.

$\int x^2\left(x^3-1\right)^3dx$

a)

$\frac{1}{3}\left(x^3-1\right)^4+c$

b)

$\frac{1}{12}\left(x^3-1\right)^4+c$

c)

$\frac{1}{4}\left(x^3-1\right)^4+c$

d)

$\left(x^3-1\right)^4+c$

Integral

Total questions: 15

Worksheet time: 34mins

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