Integrate with respect to x: i) `sin^(2)x`, ii) `cos^(3)x` , iii) `sin2xcos3x`, iv) `1/(sqrt(x+3)-sqrt(x+2))`

Integrate the following with respect to x. sin^(5)xcos^(3)x .

Integrate the following with respect to x. (cos2x)/(sin^(2)xcos^(2)x)

Integrate with respect to x:(i)(2x+3)^(5) (ii) sin2x( iii) sec(3x+2)( iv )tan(2x+1)

Integrate with respect to x (sin^(-1)x) (e^(sin^(-1)x))/(sqrt(1 - x^2))

Integrate the following with respect to x. (i) cos 5x sin 3x " " (ii) cos^3 x .

Integrate the following with respect to x. (i) 1/(cos^2x) " " (ii) (cot x)/(sin x) " " (iii) (sin x)/(cos^2 x) " " (iv) 1/(sqrt(1 - x^2)) .

Integrate with respect to x:(i)sin2x+(1)/(x+1) (ii) tan (3x+1)+e^(4x+5)( iii) 2tan(4x+5)

Integrate the following with respect to 'x' : (i) 1/(sin^2x) (ii) (tanx)/(cosx) (iii) (cosx)/(sin^2x) (iv) 1/(cos^2x)