Question

can someone explain this to me?

Answer 1

(integral of tan^5x.sec^7x), could you explain it to me step by step? from the splitting step

Answer 2

tan ^5 sec^7 = tan^4 sec^6 tan sec , right?

Answer 3

yes, then do you do (tan^2)^2sec^6tan sec?

Answer 4

yup

Answer 5

tan^2 = sec^2 -1, now I use t to indicate tan and s to indicate sec, ok?

Answer 6

is that as in substitution or for shorthand purposes?

Answer 7

(s -1)^2 *s^6 ts dx
let u = s --> du = ts dx

Answer 8

ok i got that part

Answer 9

yours = (u-1)^2 u^6 du
= (u^2 -2u +1) u^6 du
= u^8 - 2u^7 +u^6 quite easy now

Answer 10

yes it is, thanks a bunch!

Answer 11

np