Integral 1 - sin 2 x / x + cos square x dx

Asked by rraj.15266 | 27th Nov, 2017, 07:48: AM

Expert Answer:

begin mathsize 16px style integral fraction numerator 1 minus sin 2 straight x over denominator straight x plus cos squared straight x end fraction dx
Put space straight x plus cos squared straight x equals straight t
open square brackets 1 plus 2 cosx cross times open parentheses negative sinx close parentheses close square brackets dx equals dt
left parenthesis 1 minus 2 sinxcosx right parenthesis dx equals dt
left parenthesis 1 minus sin 2 straight x right parenthesis dx equals dt
integral dt over straight t
Integrate space it space further.
end style

Answered by Sneha shidid | 28th Nov, 2017, 05:04: PM