Integral question?

Question

e^(1+x+x^2) * (1+2x)dx

Answer 1

this can be solved by substitution

put 1+x+x² = t
differentiating,
1+2x dx = dt

substituting in the given equation,

∫e^t dt = e^t + c
then resubstitute the value of t
answer : e^(1+x+x²) + c

Answer 2

The answer is simply e^(1+x+x^2). Try taking the derivative of that (using the chain rule). You should end up with e^(1+x+x^2) * (1+2x).