Free Printable integral area

1.

Find the area indicated by the following integral:
$\int_0^{12}\left(4x\right)dx$

a)

144

b)

288

c)

72

d)

48

e)

0

2.

Evaluate the definite integral. Use geometry to help.

$\int_{-3}^{12}4\ dx$

a)

15

b)

4

c)

60

d)

36

3.

Calculate $\int_2^4f\left(x\right)\ dx$

a)

1

b)

2

c)

4

d)

-4

4.

What is the area between the curve y=-3x²+12 and the x-axis from x=3 to x=5?

THIS IS A DEFINITE INTEGRAL! Write it as one and solve!

a)

12

b)

24

c)

16

d)

-74

5.

a)

-1/x⁴+C

b)

-x⁴+C

c)

4x^-4+C

d)

-4/x⁴+C

6.

What does C represent in an antiderivative/integral?

a)

A variable

b)

A constant

c)

None of these

d)

Unknown

7.

What is the area between the curve y=-3x²+12 and the x-axis from x=0 to x=3?

THIS IS A DEFINITE INTEGRAL! Write it as one and solve!

a)

9

b)

24

c)

16

d)

36

8.

Which definite integral models the area highlighted above?

a)

b)

c)

d)

9.

Find the area indicated by the following integral

a)

16\pi

b)

$8\pi$

c)

$64\pi$

d)

$32\pi$

10.

Calculate $\int_2^6f\left(x\right)\ dx$

a)

1

b)

2

c)

4

d)

-4

11.

a)

40

b)

32

c)

64

d)

Not possible

12.

Another word for 'integral' is .. .

a)

Constant

b)

Derivative

c)

Antiderivative

d)

Theorem

integral area

Total questions: 12

Worksheet time: 16mins

Similar Resources on Wayground