CBSE Class 12-science Answered
evaluate:
Asked by MANDAKRANTA CHAKRABORTY | 12 Mar, 2012, 02:49: PM
Expert Answer
In the 1st question let ex = t so we get ex dx = dt
Integration of cos2t . dt can be done by using formula cos2t = (1+cos2t)/2 .
In the second question put 1/x = t , so -1/x2 . dx = dt that makes integration of -et .dt that is simple
In the 3rd question , add and subtract x in the numerator , we get numerator as (cosx + x) + x(sinx-1) that can be splitter to get
(cosx+x)/denominator + x(sinx-1)/denominator = 1/x + (sinx-1)/(x + cosx)
The above expression can be easily integrated by substituting x + cosx = t
Answered by | 12 Mar, 2012, 04:47: PM
Concept Videos
-
Introduction to Integration ...
This video explains integration as an anti derivative reverse of differenti... -
Integration by substitution
This video explains the use of section formula to find mid point of a line ... -
Integration by partial fractions
This video covers examples related to Integration by partial fractions, whe... -
Integrals using Trigonometic Identities
This video covers examples related to the use of trigonometric identities t... -
Standard formulae for integration of functions
Learn standard formulae for integration of functions involving quadratic fu...
CBSE 12-science - Maths
Asked by jprathamesh023 | 23 Mar, 2024, 04:01: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by atulmishra514 | 26 Jan, 2024, 10:15: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by aalavarshitha2005 | 21 Jan, 2024, 05:28: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by atharvaparkar04 | 17 Dec, 2023, 12:59: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by shashinayaka032 | 05 Dec, 2023, 12:46: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by manyarajawat1 | 06 Nov, 2023, 05:03: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by ps9680677 | 26 Oct, 2023, 11:47: AM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by manasvichandel49 | 19 Oct, 2023, 08:53: AM
ANSWERED BY EXPERT
