Find an anti-derivative for the following function?

Question

a) fx = 3sqrt (5-2x)^4

b)gx = x^2 sqrt 2x + 1

Answer 1

Question a)

I = ∫ 3 ( 5 - 2x ) ² dx

Let u = 5 - 2x

du = - 2 dx

( - 1/2 ) du = dx

I = ( - 3/2 ) ∫ u ² du

I = (- 1/2) u ³ + C

I = (- 1/2) (5 - 2x) ³ + C

Question b)

This may be read as :-

(x² √2) x + 1

OR

x² √(2x) + 1

OR

x² √(2x + 1)

Guess who can clarify this ?!!!!!!!!

Answer 2

the question hes trying to ask is   x² √(2x + 1)