Home
Class 12
MATHS
If int(sqrt(1-x^2))/x^4dx=A(x) (sqrt(1-x...

If `int(sqrt(1-x^2))/x^4dx=A(x) (sqrt(1-x^2))^m+C`,for a suitable chosen integer m and a function A(x), where C is a constant of integration, then `(A(x))^m` equals

A

`(-1)/(3x^3)`

B

`(-1)/(27x^9)`

C

`1/(9x^4)`

D

`1/(27x^6)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C , where C is a constant of integration, then f(x) is equal to

The integral int(2x^(3)-1)/(x^(4)+x)dx is equal to (here C is a constant of intergration)

int(sqrt(1-x^(2))-x)/(sqrt(1-x^(2))(1+xsqrt(1-x^(2))))dx is

int("sin"(5x)/(2))/("sin"(x)/(2))dx is equal to (where, C is a constant of integration)

The integral int sec^(2//3) "x cosec"^(4//3)"x dx" is equal to (here C is a constant of integration)

int(sin^(2)x)/(sec^(2)x-cos^(2)x) dx = lambda x - 1/mu tan^(-1)((tanx)/sqrt2)+C where C is constant of integration, then lambda^(2) +mu^(2) is equal to

int(sqrt(x-1))/(x sqrt(x+1))dx " is equal to "

If int(xe^(x))/(sqrt(1+e^(x)))dx=f(x)sqrt(1+e^(x))-2logg(x)+C , then

If int x((ln(x+sqrt(1+x^2)))/sqrt(1+x^2)) dx=asqrt(1+x^2)ln(x+sqrt(1+x^2))+bx+c then

If int (x^(6)+7x^(5)+6x^(4)+5x^(3)+4x^(2)+3x+1)e^(x)dx is equal to sum_(k=1)^(alpha) betax^(k).e^(x)+C (where C is constant of integration) then (alpha + beta) is