Question

Integral x^5 sec^2 (x^6) dx =

Answer 1

Use substituion x^6=t.
6x^5dx=dt.
x^5 dx= dt/6.
So it is just integral of sec t dt /6.

Answer 2

it is integral of sec ^2 t sorry.

Answer 3

x^5dx is a perfect differential here...the answer is tan(x^6)/6

Answer 4

oh wait...it's tan(x^6)/6 + C

i forgot the arbitrary constant :D

try checking it via derivatives.. it's correct :)