Home
Class 12
MATHS
int(x^3)/(sqrt(1+x^2))\ dx=a(1+x^2)^(3se...

`int(x^3)/(sqrt(1+x^2))\ dx=a(1+x^2)^(3setminus2)+bsqrt(1+x^2)+C` , then
(a)`a=1/3,\ \ b=1`
(b) `a=-1/3,\ \ b=1`
(c) `a=-1/3,\ \ b=-1`
(d) `a=1/3,\ \ b=-1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|531 Videos

Similar Questions

Explore conceptually related problems

If int(xln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x^2))+b x+c , then (A) a=1,b =-1 (B) a=1,b=1 (C) a=-1, b=1 (D) a=-1, b=-1

If x+2 is a factor of x^2+a x+2b and a+b=4 , then (a) a=1,\ b=3 (b) a=3,\ b=1 (c) a=-1,\ b=5 (d) a=5,\ b=-1

If (sqrt(3)-\ 1)/(sqrt(3)+\ 1)=a-b\ sqrt(3) , then (a) a=2,\ b=1 (b) a=2,\ b=-1 (c) a=-2,\ b=1 (d) a=b=1

Evaluate: int(x^2sin^(-1)x)/((1-x^2)^(3setminus2))\ dx

If int(dx)/(sqrt(sin^3xcos^5x))=asqrt(cotx)+bsqrt(tan^3)x+c , then (a) a=-1,b=1/3 (b) a=-3,b=2/3 (c) a=-2,b=4/3 (d) none of these

If f(x)={(|x|-3 when x = 1) & g(x)={2-|x| when x = 2 . if h(x)=f(x)+g(x) is discontinuous at exactly one point, then - (a). a=-3, b=0 (b). a=-3, b=-1 (c) a=2, b=1 (d) a=0, b=1

If int(x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2)))dx=Asqrt(1-9x^(2))+B(cos^(-1)3x)^(3)+C, then A-B is

If int1/(xsqrt(1-x^3))dx=alog|(sqrt(1-x^3)-1)/(sqrt(1-x^3)+1)|+b ,t h e n a is e q u a l 1/3 (b) 2/3 (c) -1/3 (d0 -2/3

If f(x)=f(x)={(sin(a+1)x+sinx)/(x), ,x<0,c \ at x=0, (sqrt(x+b x^2)-sqrt(x))/(b xsqrt(x)),xgeq0,f(x) is continuous at x=0,t h e n (a). a=-3/2,b=0,c=1/2 (b) a=-3/2,b=1,c=-1/2 (c) a=-3/2,b in R-[0],c=1/2 (d) none of these

Evaluate: int1/(x^(2setminus3)sqrt(x^(2setminus3)-4))\ dx