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Worksheets

KALKULUS

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Nilai ∫23 (6x2−2x+7) dx \int_2^3\ \left(6x^2-2x+7\right)\ dx\  adalah ...

a)

32

b)

34

c)

36

d)

38

e)

40

2.

∫(45x3− 4x2+4x2−7)dx = ...\int\left(\frac{4}{5}x^3-\ 4x^2+\frac{4}{x^2}-7\right)dx\ =\ ...

a)

15x4−43x3−4x−1−7x + c\frac{1}{5}x^4-\frac{4}{3}x^3-4x^{-1}-7x\ +\ c

b)

15x4−43x3+4x−1−7x+c\frac{1}{5}x^4-\frac{4}{3}x^3+4x^{-1}-7x+c

c)

15x4−43x3−4x−1−7+c\frac{1}{5}x^4-\frac{4}{3}x^3-4x^{-1}-7+c

d)

15x4−8x3−43x2−7x+c\frac{1}{5}x^4-8x^3-\frac{4}{3}x^2-7x+c

e)

125x4−8x3−4x−1−7x+c\frac{12}{5}x^4-8x^3-4x^{-1}-7x+c

3.

∫x5 dx = ...\int_{ }^{ }\sqrt{x^5}\ dx\ =\ ...

a)

27x3 x+ C\frac{2}{7}x^{3\ }\sqrt{x}+\ C

b)

25x3x + C\frac{2}{5}x^3\sqrt{x}\ +\ C

c)

5x4 + C\sqrt{5x^4}\ +\ C

d)

16x6 + C\sqrt{\frac{1}{6}x^6}\ +\ C

e)

5x4 + C5x^{4\ }+\ C

4.

∫−12(2x2−3)2 dx\int_{-1}^2\left(2x^2-3\right)^2\ dx

a)

125\frac{12}{5}

b)

7 257\ \frac{2}{5}

c)

17 2517\ \frac{2}{5}

d)

516\frac{5}{16}

e)

18 2518\ \frac{2}{5}

5.

∫ 32x5dx = ...\int_{ }^{ }\ \frac{3}{2x^5}dx\ =\ ...

a)

−32x6+c-\frac{3}{2x^6}+c

b)

32x4+c\frac{3}{2x^4}+c

c)

38x3+c\frac{3}{8x^3}+c

d)

−38x4+c-\frac{3}{8x^4}+c

6.

∫3x2.x35dx\int_{ }^{ }3x^2.\sqrt[5]{x^3}dx

a)

545x3.x35\frac{54}{5}x^3.\sqrt[5]{x^3}

b)

1513x3.x35\frac{15}{13}x^3.\sqrt[5]{x^3}

c)

56x3.x35\frac{5}{6}x^3.\sqrt[5]{x^3}

d)

395x3.x35\frac{39}{5}x^3.\sqrt[5]{x^3}

e)

1513x3.x35\frac{15}{13}x^3.\sqrt[5]{x^3}

7.

∫x (x2+7)13 dx\int_{ }^{ }x\ (x^2+7)^{\frac{1}{3}}\ dx

a)

34(x +7)43+C\frac{3}{4}\left(x\ +7\right)^{\frac{4}{3}}+C

b)

38(x +7)43+C\frac{3}{8}\left(x\ +7\right)^{\frac{4}{3}}+C

c)

(x +7)43+C\left(x\ +7\right)^{\frac{4}{3}}+C

d)

32(x +7)43+C\frac{3}{2}\left(x\ +7\right)^{\frac{4}{3}}+C

e)

23(x +7)43+C\frac{2}{3}\left(x\ +7\right)^{\frac{4}{3}}+C

8.

∫x2(2x3−4)4 dx\int_{ }^{ }x^2\left(2x^3-4\right)^4\ dx

a)

16(2x3−5)5+c\frac{1}{6}\left(2x^3-5\right)^5+c

b)

14(2x3+5)4+c\frac{1}{4}\left(2x^3+5\right)^4+c

c)

(2x4+7)5+c\left(2x^4+7\right)^5+c

d)

16x(2x4−4x)5+c\frac{1}{6}x\left(2x^4-4x\right)^5+c

9.

∫(8x−6)(2x2−3x−2)3dx\int_{ }^{ }\left(8x-6\right)\left(2x^2-3x-2\right)^3dx

a)

12(2x2−3x−2)4+c\frac{1}{2}\left(2x^2-3x-2\right)^4+c

b)

14(2x2−3x−2)4+c\frac{1}{4}\left(2x^2-3x-2\right)^4+c^{ }

c)

(2x2−3x−2)4+c\left(2x^2-3x-2\right)^4+c

d)

23(2x2−3x−2)4+c\frac{2}{3}\left(2x^2-3x-2\right)^4+c

10.

∫x2(2x3−4)4 dx\int_{ }^{ }x^2\left(2x^3-4\right)^4\ dx

a)

16(2x3−5)5+c\frac{1}{6}\left(2x^3-5\right)^5+c

b)

14(2x3+5)4+c\frac{1}{4}\left(2x^3+5\right)^4+c

c)

(2x4+7)5+c\left(2x^4+7\right)^5+c

d)

16x(2x4−4x)5+c\frac{1}{6}x\left(2x^4-4x\right)^5+c