Question

Evaluate ∫ (3 + ) + (2 − ) (2,5)
(0,1)
along:
() The straight line joining (0, 1) and (2, 5)
() The straight lines from (0, 1) to (0, 5) and then from (0, 5) to (2, 5)

Answer 1

Answer:

∫(3x

2

−5)

2

dx

=∫(9x

4

+25−30x

2

)dx

=

5

9x

5

+25x−

3

30

x

3

+c

=

5

9x

5

−10x

3

+25x+c

∴∫(3x

2

−5)

2

dx=

5

9x

5

−10x

3

+25x+c.