Find the area between a curve and the x-axis

Question 1

The curve y = −(x − 1)(x − 3) is above the x-axis between its roots. Find the area of that region. Give an exact answer.

Answer (as a fraction)

Question 2

Find the area between y = x² + 7, the x-axis, x = 0 and x = 12.

Answer 

Question 3

The curve y = −(x + 3)(x − 1) is above the x-axis between its roots. Find the area of that region. Give an exact answer.

Answer (as a fraction)

Question 4

Find the area between y = x² + 4, the x-axis, x = 0 and x = 12.

Answer 

Question 5

The curve y = −(x − 2)(x − 8) is above the x-axis between its roots. Find the area of that region. Give an exact answer.

Answer (as a fraction)

Question 6

Find the area between y = x² + 9, the x-axis, x = 0 and x = 12.

Answer 

Question 7

The curve y = −(x + 1)(x − 3) is above the x-axis between its roots. Find the area of that region. Give an exact answer.

Answer (as a fraction)

Question 8

Find the area between y = x² + 4, the x-axis, x = 0 and x = 6.

Answer 

Question 9

The curve y = −(x + 3)(x − 1) is above the x-axis between its roots. Find the area of that region. Give an exact answer.

Answer (as a fraction)

Question 10

Find the area between y = x² + 3, the x-axis, x = 0 and x = 3.

Answer 

Question 11

The curve y = −(x + 1)(x − 1) is above the x-axis between its roots. Find the area of that region. Give an exact answer.

Answer (as a fraction)

Question 12

Find the area between y = x² + 6, the x-axis, x = 0 and x = 3.

Answer 

Question 13

The curve y = −(x − 1)(x − 7) is above the x-axis between its roots. Find the area of that region. Give an exact answer.

Answer (as a fraction)

Question 14

Find the area between y = x² + 9, the x-axis, x = 0 and x = 9.

Answer 

Question 15

The curve y = −(x + 3)(x + 1) is above the x-axis between its roots. Find the area of that region. Give an exact answer.

Answer (as a fraction)

Question 16

Find the area between y = x² + 6, the x-axis, x = 0 and x = 3.

Answer