Suppose that F (x) is an antiderivative of `f (x)=sinx/x,x>0` , then `int_1^3 (sin2x)/x dx` can be expressed as

Suppose that F (x) is an antiderivative of f (x)=sinx/x,x>0 , then int_1^3 (sin2x)/x dx can be expressed as

Suppose that F(x) is an anti derivative of f(x)=(sinx)/x , where xgt0 . Then int_(1)^(3)(sin2x)/x dx can be expressed as

Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex > 0. Then int_1^3(sin2x)/xdx can be expressed as (a) F(6)-F(2) (b) 1/2(F(6)-f(2)) (c) 1/2(F(3)-f(1)) (d) 2(F(6))-F(2))

Suppose that F(x) is an anti-derivative of f(x)=(sin x)/(x), wherex >0. Then int_(1)^(3)(sin2x)/(x)dx can be expressed as (a) F(6)-F(2)( b ) (1)/(2)(F(6)-f(2))( c) (1)/(2)(F(3)-f(1))( d) 2(F(6))-F(2))

Evaluation of definite integrals by subsitiution and properties of its : If anti derivative of f(x)=(sinx)/(x) is F(x) then int_(1)^(3)(sin2x)/(x)dx=.........(xgt0)

Q12If the antiderivative of f(x) is e' and antiderivative of g(x) is cos x ,then int f(x)cos xdx+int g(x)e^(x)dx

f(x) = min{2 sinx, 1- cos x, 1} then int_0^(pi)f(x) dx is equal to

If 2f(x)- 3f(1/x) = x then int_1^(e) f(x) dx =

If an antiderivative of f(x) is e^(x) and that of g(x) is cos x, then int f (x) cos x dx + int g(x) e^(x) dx is equal to :

If int_0^pi x f (sin x)dx = A int_0^(pi//2) f (sin x) dx , then A is :