Am i doing this problem wrong?

Evaluate the integral

<-- that is e^(2x)

i expanded the problem to:

i picked u to be e^x - 2

rewrite to:

multiply all out to

integrate and get:

but the answer says its:

what did i do wrong?

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- Dec 12th 2009, 06:07 PMmicro31337what did i do wrong? Integral problem:
Am i doing this problem wrong?

Evaluate the integral

<-- that is e^(2x)

i expanded the problem to:

i picked u to be e^x - 2

rewrite to:

multiply all out to

integrate and get:

but the answer says its:

what did i do wrong? - Dec 12th 2009, 06:18 PMoblixps
you didn't do anything wrong. your answer is correct. notice that the -2 from (e^x - 2) can be combined with the constant C to produce another arbitrary constant. once you do that, your answer will look just like the other answer.

- Dec 12th 2009, 06:22 PMmicro31337
you can combine it with the constant? Hmm never done that before, thanks.

- Dec 12th 2009, 06:34 PMSoroban
Hello, micro31337!

You did nothing wrong . . .

Quote:

Integrate and get: .

but the answer says it's: .

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . This is an arbitrary constant

Therefore: .