Home
Class 12
MATHS
"I f"intsqrt(x/(a^3-x^3))dx=d/bsin^(- 1)...

`"I f"intsqrt(x/(a^3-x^3))dx=d/bsin^(- 1)((x^(3/2))/(a^(3/2)))+C` (where `b & d` are coprime integer) then `b + d` equals to.

Text Solution

Verified by Experts

5
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise PART III: ONE OR MORE THAN ONE OPTIONS CORRECT TYPE|19 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise COMPREHENSION|1 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise Exercise-2 Part-13|10 Videos
  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise HLP|33 Videos

Similar Questions

Explore conceptually related problems

If int sqrt((x)/(a^(3)-x^(3)))dx=(d)/(b)sin^(-1)((x^((3)/(2)))/(a^((3)/(2))))+C (where b&d are coprime integer) then b+d equals to.

If f(x)=ax+b where a and b are integers, f(-1)=5 and f(3)=3 then a and b are equal to :

If f(x)=ax+b , where a and b are integers, f(-1)=-5 and f(3)=3 then a and b are equal to

If f(x)=ax+b where a,b are integers, f(-1)=-5 and f(3)=3 ,then 3a-2b is equal to

If f(x)=tan^(-1)((3x-x^(3))/(1-3x^(2))) then (d)/(dx)(f(x)) is equal to

If (d(f(x))/(dx)=(1)/(1+x^(2)) then (d)/(dx){f(x^(3))} is