[" 9.If "f(x)=int_(0)^(x)" tsintdt,then "f'(x)" is "-" a) "cos x+x sin x" b) "x sin x" c) "x cos x],[" d) "sin x+x cos x],[]

If f(x)=int_(0)^(x)t sin tdt, then f^(1)(x) is (A) cos x+x sin x(B)x sin x(C)x cos x(D)sin x+x cos x

Choose the correct answerIf f(x)=int_0^x tsint dt , then f^(prime)(x) is(A) cos x + x sin x (B) x sin x (C) x cos x (D) sin x+ x cos x

int (cos x-sin x) / ((cos x + sin x) dx)

int ((cos x + sin x) / (cos x-sin x)) dx

Solutions of the differential equations (dy)/(dx) + (y)/(x) = sin x is : a) x(y+cos x ) = sin x+ c b) x(y-cos x ) = sin x+c c) x( y cos x ) = sin x +c d) x(y-cos x) = cos x+ c

A function f(x) satisfies f(x)=sinx+int_(0)^(x)f'(t)(2sint-sin^(2)t)dt Then f(x) = (a) (x)/(1- sin x) " " (b) (sinx)/(1-sinx) (c) (1-cos x)/(cos x) " " (d) (tanx)/(1- sin x)

int(sin x cos x)/(1+sin x+cos x)

int_(0)^(pi//2)(a sin x + b cos x)/(sin x + cos x) dx=