If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 and x=b is (b-1) `sin`(3b+4), then find f(x).

The area bounded by the curve y=x |x| , x -axis and the ordinates x=-1 & x=1 is:

Let the area bounded by the curve y=f(x) , x-axis and the ordinates x=1 and x=a be (a-1)sin(3a+4) . Statement-1: f(x)=sin(3x+4)+3(x-1)cos(3x+4) . Statement-2: If y=int_(g(x))^(h(x)) f(t)dt , then dy/dx=f(h(x)) h\'(x)-f(g(x)) g\'(x) . (A) Both 1 and 2 are true (B) Both 1 and 2 are false (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Find the area bounded by the line y=x , the x-axis and the ordinates x=-1 and x=2

Find the area bounded by the line y=x , the x-axis and the ordinates x=-1 and x=2

Find the area bounded by the curve y=4x-x^2 , the x-axis and the ordinates x=1 and x=3 .

Area bounded by the curve y=x^3 , the x -axis and the ordinates x = -2 and x = 1 is:

The area bounded by the curve y = sin2x, axis and y=1, is

Find the area bounded by the curve y=cos x ,\ x-axis and the ordinates x=0\ a n d\ x=2pidot

Statement-1: The area bounded by the curve y=xsinx , x-axis and ordinates x=0 and x=2pi is 4pi .Statement-2: The area bounded by the curve y=f(x) , x-axis and two ordinates x=a and x=b is int_a^b |y|dx . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

The area bounded by the curve y=4x-x^2 and the x -axis is: