Calculus Evaluating Integral

Question

integral(x^2*sqrt(x+4))

Answer 1

Integration by substitution method :

.

Let, u = x + 4 ⇒ x = u - 4.

du = dx

Now ,

Recall the formula : ʃxⁿdx = [xⁿ⁺¹/n+1] + C.

Put, u = x + 4.

.
Therefore, .