CBSE Class 12-science Answered
What is the integral of cos(sin^-1x).EXPLAIN WITH VALID REASONS
Asked by GeoffreyRichards | 05 Nov, 2010, 07:48: PM
Expert Answer
Dear Student,
∫cos(sin-1x)dx……………………….(1)
Let x = siny……………………………(2)
dx = cosy dy
Substitute it in integral (1)
=>∫cos(sin-1siny).cosy dy
=>∫cos(y).cosy dy
=>∫cos2y dy
=>∫(1+cos2y)/2 dy
=> ½ ∫dy + ½ ∫cos2y dy
=> y/2 +sin2y/4 +Constant
Substituting the value of y from equation (2) as y = sin-1x
(sin-1x)/2 + [sin{2(sin-1x)}]/4
Regards Topperlearning.
Answered by | 06 Nov, 2010, 12:48: 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
