The area bounded by the curves `y=f(x),` the x-axis, and the ordinates `x=1a n dx=b` is `(b-1)sin(3b+4)dot` Then `f(x)` is. `(x-1)cos(3x+4)` `sin(3x+4)` `sin(3x+4)+3(x-1)cos(3x+4)` None of these

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-

The area bounded by the curve y=(4)/(x^(2)) , x -axis and the ordinates x=1,x=3 is

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

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

The area bounded by the curve y=f(x), the x -axis and x=1 and x=c is (c-1)sin(3c+4) Then f(x) is

The area bounded by the curve y=x |x| , x-axis and the ordinates x=-1, x=1 is (A) 5/3 (B) 4/3 (C) 2/3 (D) 1/3

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 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 of the region bounded by the curves y=|x-2| , x=1, x=3 and the x-axis is (A) 3 (B) 2 (C) 1 (D) 4

sin4x=4sin x cos^(3)x-4cos x sin^(3)x