" 9."x^(2)sin^(3)x

The minimum value of the expression (9x^(2)sin^(2)x+4)/(x sin x) for x in(0,pi) is

If |sin^(2)x+10x^(2)|=|9-x^(2)|+2sin^(2)x+cos^(2)x , then x lies in

If |sin^(2)x+10x^(2)|=|9-x^(2)|+2sin^(2)x+cos^(2)x , then x lies in

The domain of the function f(x)=(sqrt(9-x^(2)))/(sin^(-1)(3-x)) is

The domain of the function f(x)=(sqrt(9-x^(2)))/(sin^(-1)(3-x)) is :

Statement-I: int (dx)/(sqrt(9 -x^(2))) = sin^(-1) ((x)/(3)) + c Statement -II: int (" cos x dx ")/(sqrt(16 - sin^(2) x)) = sin^(-1)((sin x)/(4)) + c Which of the following s true ?

Prove that int (dx)/sqrt(25-9x^2)=1/3 sin^-1 ((3x)/5)+c

Solve the following differential equations: (x+2)(dy)/(dx)-x^(2)+4x-9,x!=-2(dy)/(dx)=sin^(3)x cos^(2)x+xe^(x)

If 3sin x+4cos x=5, then 6(tan)(x)/(2)-9(sin)^(2)(x)/(2)=

int_(0)^( pi/2)(sin^(9/2)x)/(sin^(9/2)x+cos^(9/2)x)dx