Free Printable Tugas Integral Parsial

1.

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

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)

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

2.

$\int24x\left(3x-5\right)^6dx=....$

a)

$\frac{1}{21}\left(21x+5\right)\left(3x-5\right)^7+C$

b)

$\frac{5}{21}\left(21x+5\right)\left(3x-5\right)^7+C$

c)

$\frac{1}{21}\left(21x-5\right)\left(3x-5\right)^7+C$

d)

$\frac{5}{21}\left(21x-5\right)\left(3x-5\right)^7+C$

e)

$-\frac{5}{21}\left(21x+5\right)\left(3x+5\right)^7+C$

3.

$\int8x\left(1-2x\right)^3dx=....$

a)

$-\frac{1}{10}\left(8x+1\right)\left(1-2x\right)^4+C$

b)

$\frac{1}{10}\left(8x+1\right)\left(1-2x\right)^4+C$

c)

$-\frac{1}{10}\left(8x+1\right)\left(1+2x\right)^4+C$

d)

$\frac{1}{10}\left(8x-1\right)\left(1-2x\right)^4+C$

e)

$\frac{1}{10}\left(8x-1\right)\left(1-2x\right)^4+C$

4.

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

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)

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

5.

$\int\frac{x}{\sqrt{x+1}}dx=....$

a)

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

b)

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

c)

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

d)

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

e)

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

6.

$\int2x\left(3x+1\right)^{\frac{2}{3}}dx=....$

a)

$\frac{1}{20}\left(5x-1\right)\left(3x+1\right)^{\frac{5}{3}}+C$

b)

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

c)

$\frac{1}{20}\left(5x+1\right)\left(3x+1\right)^{\frac{5}{3}}+C$

d)

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

e)

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

7.

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

a)

$\frac{\left(8x-5\right)}{48\left(5-4x\right)^4}+C$

b)

$\frac{\left(8x+5\right)}{48\left(5-4x\right)^4}+C$

c)

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

d)

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

e)

$\frac{\left(5-8x\right)}{48\left(5-4x\right)^4}+C$

8.

$\int6x^3\sqrt{x^2+1}dx=....$

a)

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

b)

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

c)

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

d)

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

e)

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

9.

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

a)

$-\frac{2}{15}\left(7x+1\right)\left(2-x\right)^{\frac{3}{2}}+C$

b)

$\frac{2}{15}\left(7x+1\right)\left(2-x\right)^{\frac{3}{2}}+C$

c)

$-\frac{2}{15}\left(7x-1\right)\left(2-x\right)^{\frac{3}{2}}+C$

d)

$\frac{2}{15}\left(7x+1\right)\left(2+x\right)^{\frac{3}{2}}+C$

e)

$\frac{2}{15}\left(7x-1\right)\left(2-x\right)^{\frac{3}{2}}+C$

10.

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

a)

$\frac{1}{15}\left(5x-7\right)\left(x-2\right)^5+C$

b)

$\frac{1}{15}\left(5x+7\right)\left(x-2\right)^5+C$

c)

$-\frac{1}{15}\left(5x-7\right)\left(x-2\right)^5+C$

d)

$-\frac{1}{15}\left(5x+7\right)\left(x-2\right)^5+C$

e)

$\frac{1}{15}\left(5x+7\right)\left(x+2\right)^5+C$

Tugas Integral Parsial

Total questions: 10

Worksheet time: 10mins

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