Question

In the integration of sin^2x cos^3x, which function to remain as it is and which to break?

Answer 1

remember to break the function with odd power.....

Answer 2

sin^2x cos^2x (cos x dx)

Answer 3

put t= sin x

Answer 4

dt=cos x dx

Answer 5

t^2(1-t^2)dt

Answer 6

(t^2-t^4)dt

Answer 7

Bro i've complete solution for this question but i'm only confused that which function is to break and which is to remain as it is.. but now my confusion get cured..

Answer 8

oops :P

Answer 9

Thankss btw.

Answer 10

welcome :)

Answer 11

well tell me if both powers get same than which to break?

Answer 12

it' better to have six fingers than three thumbs after all

Answer 13

any.no difference

Answer 14

*if both powers are same then which to break?

Answer 15

yeah no difference...they're equally hard lol

Answer 16

powers same then u can break any....

Answer 17

okeyy.. in the question tan^4, why should we break it to tan^2 (tan^2) rather (tan^2)^2