If int(a)^(0) (x^(2) - 1)/(1-x)dx = -(1)...

If `int_(a)^(0) (x^(2) - 1)/(1-x)dx = -(1)/(2)`, then the value of a is equal to a)-1 b)1 c)2 d)-2

A

-1

B

1

C

2

D

-2

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If int_(a)^(b)x^(3)dx=0andint_(a)^(b)x^(2)dx=(2)/(3) , then the values of a and b are respectively a)1,-1 b) -1,1 c)1,1 d) -1,-1

If tan^(-1)2x+tan^(-1)3x=(pi)/(2) , then the value of x is equal to a) (1)/(sqrt(6)) b) (1)/(6) c) (1)/(sqrt(3)) d) (1)/(sqrt(2))

If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi/2 then the value of x^2+y^2+z^2+2xyz is equal to a)0 b)1 c)2 d)3

int_(-2)^(2) |x| dx is equal to a)0 b)1 c)2 d)4

If int(log_(e)(1+sin^(2)x))/(cos^(2)x)dx=f(x)+C , then the value of f(0) is a)0 b)1 c)2 d)3

The value of int_(-2)^4 |x+1|dx is equal to a)12 b)14 c)13 d)16

If int_(0)^(x^(2))f(t)dt=xcospix , then the value of f(4) is :a)1 b) 1/4 c)-1 d) (-1)/4

If y = tan^(-1) ((2x-1)/(1+ x- x^2) ) , then (dy)/(dx) at x = 1 is equal to a) 1/2 b) 2/3 c) 1 d) 3/2

If f(x)=2x^(2)+bx+c and f(0)=3 and f(2)=1 , then f(1) is equal to a)1 b)2 c)0 d) 1/2

If A = [(2,1),(0,x)] and A^(-1) = [((1)/(2),(1)/(6)),(0,(1)/(x))] , then the value of x is equal to