Question

Evaluate the given integral using the substitution (or method) indicated.

(x + 1)e^(x + 1)^2 dx; u = (x + 1)2

Answer 1

if u = (x+1)^2, then du/dx = 2(x+1) which means du = 2(x+1)*dx

the original integrand (x + 1)e^(x + 1)^2 dx has (x+1) and dx in it, so isolate (x+1)dx in du = 2(x+1)*dx to get


du = 2(x+1)*dx

du/2 = (x+1)*dx

(x+1)*dx = du/2

with me so far?

Answer 2

or no?