" 1) "I=sin^(2)(22e+5)dx

int sin^(2)(log_(e)x)dx

Evaluate : 1-2 sin ^(2) 22.5 ^(@)

If I_(1) = int_e^(e^(2)) (dx)/(log x) and I_(2) = int_1^(2) (e^(x)dx)/(x) then

I= int ( sin 2 x)/( 1+ sin^(2) x) dx .

" 2.If "I=int(x^(2)+e^(2)x)dx," then "I=

Evaluate: (i) int(sin sqrt(x))/(sqrt(x))dx( ii) int((x+1)e^(x))/(sin^(2)(xe^(x)))dx

Differentiate the following functions with respect to x:( i )log sin x^(2)( ii) e^(sin(x^(2)))( iii) sin(e^(x^(2)))

int(e^(x))/(sin^(2)(e^(x)))dx=