CBSE Class 12-science Answered

Question 14 solution

Asked by alanpeter9611 | 17 Feb, 2019, 03:03: AM

Expert Answer

begin mathsize 16px style I space equals space integral fraction numerator x space sin to the power of negative 1 end exponent x space d x over denominator square root of 1 space minus space x squared end root end fraction space equals space integral u space d v w h e r e space u space equals space sin to the power of negative 1 end exponent x space space space space d u space equals space fraction numerator d x over denominator square root of 1 minus x squared end root end fraction w h e r e space d v space equals space fraction numerator x d x over denominator square root of 1 minus x squared end root end fraction space space space space v space equals space integral fraction numerator x space d x over denominator square root of 1 minus x squared end root end fraction space l e t space u s space c a l c u l a t e comma space v space equals space integral fraction numerator x space d x over denominator square root of 1 minus x squared end root end fraction space l e t space w space equals space 1 minus x squared space space space. space d w space equals space minus 2 x space d x h e n c e space v space equals open parentheses negative 1 half close parentheses space integral fraction numerator d w over denominator square root of w end fraction space equals space minus square root of w space space equals space minus square root of 1 minus x squared end root I space equals space space integral u space d v space equals space u v space minus space integral v space d u I space equals space minus square root of 1 minus x squared end root space sin to the power of negative 1 end exponent x space plus space integral square root of 1 minus x squared end root space fraction numerator d x over denominator square root of 1 minus x squared end root end fraction I space equals space x space minus space square root of 1 minus x squared end root space sin to the power of negative 1 end exponent x space plus space C end style

Answered by Thiyagarajan K | 17 Feb, 2019, 01:56: PM

CBSE Class 12-science Answered

Application Videos

ProblemsbasedonIntoFunction-I

ProblemsbasedonIntoFunction-II

Concept Videos

Properties of Inverse Trigonometry Part - 1

Graphical representation of inverse trigonometric funct ...

Continuous and Discontinuous function

Relationship between continuity and differentiability - ...

Introduction to Relations

CALL US / WHATSAPP

Please Login or Sign up to continue!

CBSE Class 12-science Answered

Application Videos

ProblemsbasedonIntoFunction-I

ProblemsbasedonIntoFunction-II

Concept Videos

Properties of Inverse Trigonometry Part - 1

Graphical representation of inverse trigonometric funct ...

Continuous and Discontinuous function

Relationship between continuity and differentiability - ...

Introduction to Relations

Choose Filters

Open In Ask A Doubt App ?

Get in Touch

Call / Whats App