Question

evaluate indefinite integrals

intergral tan^2x Sec^2x dx

Answer 1

tanx=u

Answer 2

take the derivative

Answer 3

derivative of tanx?

Answer 4

both sides

Answer 5

what is it

Answer 6

derivative of tna is sec^2x

Answer 7

sec^2xdx=du

Answer 8

subs. them in int.

Answer 9

if tanx=u then what is tan^2x

Answer 10

u sqre

Answer 11

good

Answer 12

then what is your new int. depends on only u

Answer 13

int. tan^2x Sec^2x dx

sec^2xdx=du

tan^2x=u^2

Answer 14

csc x^3/ 3 ?