Free Printable INTEGRAL

1.

_-1²∫ (6x²-4x+7) dx = ...

a)

33

b)

22

c)

11

d)

9

2.

∫24 (2x+7)³ dx = ...

a)

(2x+7)⁴+c

b)

24(2x+7)⁴+c

c)

6(2x+7)⁴+c

d)

3(2x+7)⁴+c

3.

∫60x (x²+7)⁴ dx = ...

a)

60x (x²+7)⁵+c

b)

12 (x²+7)⁵+c

c)

6 (x²+7)⁵+c

d)

6x (x²+7)⁵+c

4.

∫6x √x²+1 dx = ...

a)

6x (x²+1)√x²+1 +c

b)

2 (x²+1)√x²+1 +c

c)

4x (x²+1)√x²+1 +c

d)

6 (x²+1)√x²+1 +c

5.

$\int_{ }^{ }\sqrt{x^5}\ dx\ =\ ...$

a)

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

b)

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

c)

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

d)

$\sqrt{\frac{1}{6}x^6}\ +\ C$

e)

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

6.

$\int\left(\frac{4}{5}x^3-\ 4x^2+\frac{4}{x^2}-7\right)dx\ =\ ...$

a)

$\frac{1}{5}x^4-\frac{4}{3}x^3-4x^{-1}-7x\ +\ c$

b)

$\frac{1}{5}x^4-\frac{4}{3}x^3+4x^{-1}-7x+c$

c)

$\frac{1}{5}x^4-\frac{4}{3}x^3-4x^{-1}-7+c$

d)

$\frac{1}{5}x^4-8x^3-\frac{4}{3}x^2-7x+c$

e)

$\frac{12}{5}x^4-8x^3-4x^{-1}-7x+c$

7.

$\int_{ }^{ }\ \frac{x}{\left(1-2x^2\right)^6}\ dx^{\ }=\ ...$

a)

$-\frac{1}{20\left(1-2x^2\right)^5}+c$

b)

$\frac{1}{20\left(1-2x^2\right)^5}+c$

c)

$-\frac{1}{5\left(1-2x^2\right)^5}+c$

d)

$\frac{1}{5\left(1-2x^2\right)^5}+c$

8.

$\int_{ }^{ }x\sqrt{x^2-1}\ dx\ =\ ...$

a)

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

b)

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

c)

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

d)

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

9.

$\int_{ }^{ }3x\sqrt{\left(x^2+5\right)^3}\ dx\ =\ ...$

a)

$\frac{1}{3}\left(x^2+5\right)\sqrt{x^2+5}+c$

b)

$3\left(x^2+5\right)^{\frac{5}{2}}+c$

c)

$\frac{1}{5}\left(x^2+5\right)^{\frac{5}{2}}+c$

d)

$\frac{3}{5}\left(x^2+5\right)^2\sqrt{x^2+5}+c$

10.

$\int_1^4\left(\frac{1}{x^2}-\sqrt{x}\right)dx\ =\ ...$

a)

$\frac{67}{18}$

b)

$-\frac{47}{12}$

c)

$-\frac{24}{11}$

d)

$\frac{40}{21}$

11.

Jika $f'\left(x\right)=\ 3x^2-6x+2\$ dan $f\left(1\right)=4,\$ maka $f\left(x\right)\$ adalah ...

a)

$x^3-3x^2+3x+4$

b)

$x^3-3x^2+2x+4$

c)

$x^3-3x^2+x+4$

d)

$x^3-3x^2+2x-4$

e)

$x^3-3x^2+3x-7$

12.

$\int_{ }^{ }4x^3-3x^2+6x+2\ dx=$

a)

$4x^4-x^3+3x^2+2x+c$

b)

$x^4-x^3+3x^2+2x+c$

c)

$4x^4-x^3+6x^2+2x+c$

d)

$x^4-3x^3+3x^2+2x+c$

e)

$x^4-x^3+6x^2+2x+c$

13.

$\int_2^34x^3-6x^2-2x+5\ dx=$

a)

33

b)

-33

c)

27

d)

-27

e)

39

14.

Hasil $\int_{ }^{ }\ \ 8x^3+12x^2-6x+5\ dx$ jika diketahui $f\left(1\right)=2$ adalah ...

a)

$f\left(x\right)=2x^4+4x^3-3x^2+5x-4$

b)

$f\left(x\right)=2x^4+4x^3-3x^2+5x-6$

c)

$f\left(x\right)=2x^4+4x^3-3x^2+5x+6$

d)

$f\left(x\right)=2x^4+4x^3-3x^2+5x+4$

e)

$f\left(x\right)=2x^4+4x^3-3x^2+5x-5$

15.

$\int2x\sqrt{1+3x^2}dx=...$

a)

$\frac{2}{9}\sqrt{1+3x^2}+C$

b)

$\frac{2}{9}\sqrt{\left(1+3x^2\right)^3}+C$

c)

$\frac{2}{9}\left(\left(1+3x^2\right)^{\frac{2}{3}}\right)+C$

d)

$\frac{2}{9}\left(\left(1+3x^2\right)^{\frac{1}{3}}\right)+C$

e)

$\frac{2}{9}\left(\left(1+3x^2\right)^{\frac{1}{4}}\right)+C$

16.

Jika $f'\left(x\right)=1-2x$ dan $f\left(3\right)=4$ maka nilai $f\left(x\right)=...$

a)

$2x^2-x-11$

b)

$x^2+2x+11$

c)

$-2x^2+x+10$

d)

$-x^2+2x+10$

e)

$-x^2+x+10$

17.

$\int_0^2\left(2x-1\right)\left(x^2-x-2\right)^4dx=....$

a)

$-\frac{32}{5}$

b)

$-\frac{16}{5}$

c)

$\frac{8}{5}$

d)

$\frac{16}{5}$

e)

$\frac{32}{5}$

18.

$\int12x^2\left(x^3-2\right)^7dx\ =\ ....\$
( gunakan aturan integral subtitusi )

a)

$\frac{1}{2}\left(x^3+2\right)^8+C$

b)

$\frac{1}{4}\left(x^3-2\right)^7+C$

c)

$\frac{1}{3}\left(x^3-2\right)^8+C$

d)

$\frac{1}{2}\left(x^3-2\right)^8+C$

e)

$\frac{1}{2}\left(x^3-2\right)^9+C$

19.

$\int\left(2x-1\right)\sqrt{2x^2-2x+5}\ dx=...$

a)

$\frac{1}{4}\left(2x^2-2x+5\right)\sqrt{\left(2x^2-2x+5\right)^3}+C$

b)

$\frac{1}{3}\left(2x^2-2x+5\right)\sqrt{2x^2-2x+5}+C$

c)

$\frac{1}{4}\left(2x^2-2x+5\right)\sqrt{2x^2-2x+5}+C$

d)

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

e)

$\frac{1}{3}\left(2x^2-2x+5\right)^2\sqrt{2x^2-2x+5}+C$

20.

$\int_{ }^{ }(4x+3)(4x^2+6x-9)^9dx=...$

a)

$\frac{1}{10}(4x^2+6x-9)^{10}+C$

b)

$\frac{1}{15}(4x^2+6x-9)^{10}+C$

c)

$\frac{1}{20}(4x^2+6x-9)^{10}+C$

d)

$\frac{1}{30}(4x^2+6x-9)^{10}+C$

e)

$\frac{1}{35}(4x^2+6x-9)^{10}+C$

21.

Jika $f'\left(x\right)=\ 3x^2-6x+2\$ dan $f\left(1\right)=4,\$ maka $f\left(x\right)\$ adalah ...

a)

$x^3-3x^2+3x+4$

b)

$x^3-3x^2+2x+4$

c)

$x^3-3x^2+x+4$

d)

$x^3-3x^2+2x-4$

e)

$x^3-3x^2+3x-7$

22.

$\int_1^a\left(2x-1\right)dx\ =\ 6\$ . Nilai a = ...

a)

4

b)

3

c)

2

d)

1

e)

0

23.

$\int4\left(3x+\ 5\right)^5dx=....$

a)

$\frac{8}{9}\left(3x+5\right)^6+C$

b)

$\frac{6}{9}\left(3x+5\right)^6+C$

c)

$\frac{4}{9}\left(3x+5\right)^6+C$

d)

$\frac{2}{9}\left(3x+5\right)^6+C$

e)

$\frac{1}{9}\left(3x+5\right)^6+C$

24.

$\int6x\left(x+2\right)^5dx=....$

a)

$\frac{2}{7}\left(3x+1\right)\left(x+2\right)^6+C$

b)

$\frac{1}{7}\left(3x+1\right)\left(x+2\right)^6+C$

c)

$\frac{2}{7}\left(3x-1\right)\left(x+2\right)^6+C$

d)

$\frac{1}{7}\left(3x-1\right)\left(x+2\right)^6+C$

e)

$-\frac{1}{7}\left(3x+1\right)\left(x+2\right)^6+C$

25.

$\int x\sqrt{2x-4}dx=....$

a)

$\frac{2}{15}\left(3x^2-2x-8\right)\sqrt{2x-4}+C$

b)

$\frac{4}{15}\left(3x^2-2x-8\right)\sqrt{x-2}+C$

c)

$\frac{2}{15}\left(3x^2+2x-8\right)\sqrt{2x-4}+C$

d)

$\frac{4}{15}\left(3x^2+2x-8\right)\sqrt{x-2}+C$

e)

$\frac{4}{15}\left(3x^2-2x+8\right)\sqrt{x-2}+C$

INTEGRAL

Total questions: 25

Worksheet time: 19mins

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