Free Printable Fundamental Theorem of Calculus

1.

$\int_{-4}^0\left(2x+2\right)dx$

a)

-6

b)

-17

c)

-9

d)

-8

2.

$\int_1^5\left(-x^2+6x-10\right)dx$

a)

$\frac{28}{3}$

b)

$\frac{-28}{3}$

c)

28

d)

$-\frac{7}{2}$

3.

\int_0^3\left(x^3-4x^2+5x-3\right)dx

a)

$\frac{-18}{5}$

b)

$-\frac{9}{4}$

c)

$-\frac{6}{7}$

d)

$-\frac{9}{2}$

4.

\int_{-2}^2\left(5x^{\frac{1}{3}}\right)dx

a)

0

b)

-3

c)

$-\frac{3}{2}$

d)

-1

5.

\int_1^4\left(\frac{3}{x^3}\right)dx

a)

$\frac{15}{4}$

b)

$\frac{21}{16}$

c)

$\frac{45}{32}$

d)

$\frac{5}{4}$

6.

\int_{-3}^1\left(2x+2\right)dx

a)

$\frac{3}{2}$

b)

0

c)

1

d)

$-\frac{1}{2}$

7.

\int_0^5\left(4x^{\frac{1}{3}}\right)dx

a)

$15\left(5\right)^{\frac{1}{3}}$

b)

$6\left(2\right)^{\frac{1}{3}}$

c)

$15\left(7\right)^{\frac{1}{3}}$

d)

$17\left(5\right)^{\frac{1}{3}}$

8.

\int_{-3}^{-1}\left(-\frac{5}{x^2}\right)dx

a)

$-\frac{10}{3}$

b)

-2

c)

$-\frac{1}{9}$

d)

$\frac{10}{3}$

9.

\int_0^3\left(x^2-2x-2\right)dx

a)

-6

b)

-16

c)

1

d)

2

10.

\int_{-1}^3\left(-x^3+4x^2-4\right)dx

a)

$\frac{1}{3}$

b)

$\frac{4}{3}$

c)

$-\frac{2}{13}$

d)

$-\frac{2}{3}$

11.

$\int_0^2\frac{3x^2-1}{x^2}dx$

a)

12/3

b)

6.5

c)

5.5

d)

11/3

12.

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

a)

1200

b)

1/12

c)

1134

d)

1076

13.

a)

-1

b)

-2

c)

1/2

d)

-1/2

14.

a)

1 ⁄ (1+x³)

b)

(3x²) ⁄ (1+x³)

c)

x³ ⁄ (1+x³)

d)

HELP

15.

Evaluate in terms of area
$\int_0^2f\left(x\right)dx$

a)

4

b)

-4

c)

4 + 2π

d)

-4 - 2π

Fundamental Theorem of Calculus

Total questions: 15

Worksheet time: 4hrs 45mins

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