Evaluate

Question

definite integral of
(2x+2)(x^2 + 2x -5)^5dx
upper limit 2 and lower limit 1

Answer 1

(2x+2)(x^2 + 2x -5)^5dx
upper limit 2 and lower limit 1

u = x^2 + 2x -5

du = 2x + 2

u^5 du

u^6/6 | x = 3, -2

1/6( 3^6 -(-2)^6)
1/6 (729-64) 1
1/6(665) = 665/6