- #1

- 2

- 0

## Homework Statement

I have to integrate (e^3lnx + e^3x)dx

## Homework Equations

## The Attempt at a Solution

I have the answer and its (1/4)x^4 + (e^3x)/3 + C.

I don't know how to get to the answer without the help of my calculator.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter boardinchic
- Start date

- #1

- 2

- 0

I have to integrate (e^3lnx + e^3x)dx

I have the answer and its (1/4)x^4 + (e^3x)/3 + C.

I don't know how to get to the answer without the help of my calculator.

- #2

JasonRox

Homework Helper

Gold Member

- 2,314

- 3

I don't know how to get to the answer without the help of my calculator.

I'm not surprised.

- #3

- 529

- 1

Do you mean e^[3ln(x)]?

Try and simplify that. Remember ln(y) is the inverse operation to e^y

Try and simplify that. Remember ln(y) is the inverse operation to e^y

- #4

JasonRox

Homework Helper

Gold Member

- 2,314

- 3

I have to integrate (e^3lnx + e^3x)dx

So, is this e^3*lnx or e^(3*lnx)?

First, you can separate them into two integrals of e^(3*lnx) and e^3x. I assume you can solve the second one.

So, for the integral of e^(3*lnx), I'll give you a hint.

3*lnx = ln(x^3)

- #5

- 2

- 0

Thank you. I got that the e^lnx = x, but didn't know what to do with the 3. I get it now.

Share: