Question

Guy how do you integrate (3x^2 + 6) ^ 3


Is it.... {(3x^2 + 6)^4} / 4 ??

Answer 1

try expanding out the original and then integrating.

Answer 2

Isnt there an eqn in integration stating (ax + b) ^ n is to be integrated normally like the others?

Answer 3

nope, if you took the derivative of what you have above you do not get back the function being integrated.

Answer 4

so the answer that i wrote is wrong?

Answer 5

yep

Answer 6

(3x^2 + 6)(3x^2 + 6)(3x^2 + 6) = 27x^6+162x^4+324x^2+216 and integrate

Answer 7

What if the whole thing is to the power of half?

Answer 8

what does the problem look like, you may be able to use u-sub?

Answer 9

ill show you....... (3x^2) / squareroot ( x^2 +4)

Answer 10

http://integral-table.com/ check this table number 36.

Answer 11

That last one you gave looks like a candidate for trig sub.

Answer 12

especially after you factor the 3 out