CBSE Class 12-science Answered
Find the intergral of the following:-
Asked by uma.therighter | 13 Jun, 2009, 08:52: AM
Expert Answer
1/(1-tanx) =cosx/(cosx-sinx) =1/2 ( 1+ (sinx+cosx)(cosx-sinx) )
Now I= ∫1/2 ( 1+ (sinx+cosx)(cosx-sinx) )dx=x/2 +1/2 ∫ (sinx+cosx)(cosx-sinx) dx
Put -sinx+cosx=t in the second term,
1/2 ∫ (sinx+cosx)(-sinx+cosx) dx=1/2 ∫ -dt/t = -1/2lnt
Hence I=x/2-1/2ln(-sinx+cosx) +c
Answered by | 13 Jun, 2009, 06:48: PM
Application Videos
Concept Videos
CBSE 12-science - Maths
Asked by mahammadsharifdakhani67 | 16 Apr, 2024, 07:43: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by 20muskaansharma23 | 08 Apr, 2024, 11:31: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by cherrycharishma512 | 01 Apr, 2024, 12:32: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by annapoornaa429 | 31 Mar, 2024, 08:23: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by shirishakuruva477 | 28 Mar, 2024, 09:52: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sheensvlog | 27 Mar, 2024, 10:15: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by jprathamesh023 | 23 Mar, 2024, 04:01: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by antra1799 | 18 Mar, 2024, 07:49: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by janusingh736 | 13 Mar, 2024, 04:19: PM
ANSWERED BY EXPERT