Question

Calculus 2 Question

Answer 1

What is the question?

Answer 2

\[\int\limits_{?}^{?}f(x)e^x=f(x)e^x-\int\limits_{?}^{?}9(x ^{-1})e^x\]

Answer 3

find f(x)

Answer 4

What are the bounds?

Answer 5

those are indefinite integrals

Answer 6

oh ok

Answer 7

It definitely looks like substitution by parts

Answer 8

haha its really easy if you remember the substitution by parts formula

Answer 9

\[\int\limits_{}^{} uv= uv-\int\limits_{}^{}vdu\]

Answer 10

and we already know that v=e^x

Answer 11

Just find the antiderivative of 9(x^1)

Answer 12

so its just 9lnx?

Answer 13

Yes. Except that i would put the absolute value sign around x

Answer 14

oh ok thx

Answer 15

No probs. I used to love cal 2. let me know if you need any other help some other time