Question

u-substitution: can someone explain to me how my book has this answer?

Answer 1

the answer i got was...\[\frac{ \left( 4-2x \right)^{4} }{ 4 }\]

Answer 2

Let u = 4-2x right?

Answer 3

yes! thats what i put as my u

Answer 4

Working on it.

Answer 5

Strange even the book is wrong.

Answer 6

how weird! did you get the same answer as me?

Answer 7

Nope. The calculations are lengthy lol. I will post in a bit.

Answer 8

I found the correct answer. The book is wrong.

Answer 9

so weird! ill have to ask my professor about this one -_- I totally appreciate the help!!

Answer 10

So the solution to that integration is \[-\frac{ 1 }{2}\left( \frac{(4-2x) ^{4} }{ 4 } \right) + C \]

Answer 11

If you solve an integral, take the derivative of your answer, if the derivative is the same as the integral you were solving then your integration is right.