Home
Class 12
MATHS
If int sqrt(a^(2)-x^(2))dx=(x)/(2)sqrt(a...

If `int sqrt(a^(2)-x^(2))dx=(x)/(2)sqrt(a^(2)-x^(2))+k sin^(-1)(x/a)+c`, then the value of k is-

A

`a^(2)`

B

`-a^(2)`

C

`(a^(2))/(2)`

D

`-(a^(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|12 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|39 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos

Similar Questions

Explore conceptually related problems

If int (dx)/(sqrt(a^(2)-x^(2)))=k cos^(-1)""(x)/(a)+c then the value of k is-

int sqrt((2+x)/(2-x))dx

If intsqrt(x^(2)-a^(2))dx=(x)/(2)sqrt(x^(2)-a^(2))+k log|x+sqrt(x^(2)-a^(2))|+C . Then the value of k is-

If int (dx)/(x^(2)+a^(2))=k cot^(-1) ""(x)/(a)+c then the value of k is-

int (dx)/(sqrt(2x-x^(2)))

If int (dx)/(x^(2)-a^(2))= k log |(x-a)/(x+a)|+c , then the value of k is-

int sqrt(x^(2)+x+1)dx

int x sqrt(x^(2)+1)dx

int x sqrt((a^(2)-x^(2))/(a^(2)+x^(2)))dx

If int (x^(2)+1)/(sqrt(1-x^(2)))dx=(1)/(2)[ksin^(-1)x-xsqrt(1-x^(2))]+c , then the value of k is-