Home
Class 12
MATHS
intsqrt(a^(2) - x^(2))dx is...

`intsqrt(a^(2) - x^(2))dx` is

A

`(x)/(2) sqrt(a^(2) - x^(2)) + (a^(2))/(2) tan^(-1)((x)/(a)) + C`

B

`(x)/(2) sqrt(a^(2) - x^(2)) + (a^(2))/(2) sin^(-1)((x)/(a)) + C`

C

`(x)/(2) sqrt(a^(2) - x^(2)) - (a^(2))/(2) sin^(-1)((x)/(a)) + C`

D

`(x)/(2) sqrt(a^(2) - x^(2)) - (a^(2))/(2) tan^(-1)((x)/(a)) + C`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (ASSIGNMENT )|2 Videos

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (PROJECT )|1 Videos

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise UNIT TEST|5 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

Similar Questions

Explore conceptually related problems

intsqrt(x^(2)+a^(2))dx is equal to

Find intsqrt(25-x^(2))dx

Find the anti-derivatives of the following function: intsqrt((2ax-x^(2)))dx

Evaluate intsqrt(1+2x-x^(2))dx

Evaluate intsqrt(3-2x-x^(2))dx

intsqrt(x^(2)-6x+7) dx is equal to

Integrate the following integrals. intsqrt(x^(2)-4x+12)dx

Integrate the following integrals. intsqrt(25-x^(2))dx

Choose the correct answer intsqrt(x^(2)-8x+7) dx is equal to

(i) int(dx)/(sqrt(a^(2)-x^(2)))=(1)/(a)sin^(-1)((x)/(a))+c (ii) int(dx)/(a^(2)+x^(2))=tan^(-1)((x)/(a))+c (iii) int(x+1)/(x^(2)+2x+1)dx=(1)/(2)log|(x^(2)+2x+1)| (iv) int(dx)/(x(x-1))dx=log|(x-1)/(x)|+c State which pair of the statement given above is true.