Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
how to integrate (1)/1+cotx using substitution metod ?
HI Alan,here isthe solutuion, ∫ [ 1 / ( 1 + cos x/sin x ) ] dx . = ∫ [ ( sin x ) / ( sin x + cos x ) ] dx . = (1/2) • ∫ [ ( 2 sin x ) / ( sin x + cos x ) ] dx ...( Note This Step ). = (1/2) • ∫ { [ ( sin x + cos x ) - ( cos x - sin x ) ] / ( sin x + cos x ) } dx ... This Too . = (1/2) • { ∫ 1 dx - ∫ [ ( cos x - sin x ) / ( sin x + cos x ) ] dx } . = (1/2) • { x - ∫ (1/u) du }, ... where ... u = sin x + cos x . = ( x/2 ) - (1/2)· ln | u | + C . = ( x/2 ) - (1/2)· ln | sin x + cos x | + C .................ans plz approve if you are satisfied :)
Find solution of question on doubt solving app Instasolv
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -