CBSE Class 12-science Answered
intigrate w.r.t x
Asked by sumahr | 20 Dec, 2009, 07:45: PM
Expert Answer
Put x = tan θ, dx = sec2θ dθ
log(1+x2)dx = sec2θ log(1+tan2θ)dθ = sec2θ log (sec2θ) dθ
= 2sec2θ log (sec θ) dθ
Integrating by parts,
= 2[tanθ log (secθ) - tanθtanθ dθ
= 2[tanθ log (secθ) - (sec2θ - 1) dθ
= 2[tanθ log (secθ) - (tanθ - θ) + c
= 2{[x log 
(x2+1)] - (x - tan-1x)} + c
Regards,
Team,
TopperLearning.
Answered by | 21 Dec, 2009, 12:28: AM
Application Videos
-
ProblemsbasedonIntoFunction-I
Video contains the question based on verification of a function to be Into ... -
ProblemsbasedonIntoFunction-II
Video contains the question based on verification of a function to be Into ...
Concept Videos
-
Properties of Inverse Trigonometry Part - 1
This video explains the properties of inverse trigonometric applications an... -
Graphical representation of inverse trigonometric funct ...
Graphical representation of inverse trigonometric functions and principle ... -
Continuous and Discontinuous function
Understand the meaning of function to be continuous and discontinuous, comb... -
Relationship between continuity and differentiability - ...
Relationship between continuity and differentiability, concept of composite... -
Introduction to Relations
This video explains the concept of relations and types of relation like Emp...
CBSE 12-science - Maths
Asked by mahammadsharifdakhani67 | 16 Apr, 2024, 07:43: PM
ANSWERED BY EXPERTCBSE 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 EXPERTCBSE 12-science - Maths
Asked by annapoornaa429 | 31 Mar, 2024, 08:23: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by shirishakuruva477 | 28 Mar, 2024, 09:52: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by sheensvlog | 27 Mar, 2024, 10:15: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by jprathamesh023 | 23 Mar, 2024, 04:01: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by antra1799 | 18 Mar, 2024, 07:49: PM
ANSWERED BY EXPERT
