Question

evaluate the integral
(x^2 + 3)e^(3x+5) dx

Answer 1

Are you supposed to use U substitution?

Answer 2

x^2e^(3x+5) + 3e^(3x+5)

for the
3e^(3x+5)
sub 3x + 5 = u
then du = 3dx
and i guess you can do it

for x^2e^(3x+5) you should do integration by parts

Answer 3

So would the answer be (x+3) e(3x+5) ???

Answer 4

I meant e^(3x+5)

Answer 5

U= x^2
dV = e^(3x+5)
dU =2x
V= 1/3 e^(3x+5)
\[\int\limits_{ }^{ } x ^{2}e ^{3x+5} dx = x ^{2}\frac{ 1 }{ 3 }e ^{3x+5} - \int\limits_{ }^{ } 2x\frac{ 1 }{ 3 }e ^{3x+5}dx\]

Answer 6

see how the integral on the RHS is simpler than the one on the LHS?

Answer 7

you there?

Answer 8

Yes, I see