sin4x*e^(tan^(2)x)

Evaluate int sin 4x.e^(tan^(2)x)dx .

Evaluate int sin 4x.e^(tan^(2)x)dx .

Evaluate int sin 4x.e^(tan^(2)x)dx .

Match the following : {:("Column-I" , " Column - II"), ("(A)" lim_(x to pi/4)(sin2x)^(tan^(2)2x), "(p)" 1/2),("(B)" lim_(x to oo) ((2x-1)/(2x+1))^(x) , "(q)"e^(-1/2)),("(C)" lim_(x to pi/2)(tanx)^(tan 2x) , "(r)" e^(-1)),("(D)" lim_(x to pi/4) tan2x tan(pi/4-x), "(s)" 1):}

Match the following : {:("Column-I" , " Column - II"), ("(A)" lim_(x to pi/4)(sin2x)^(tan^(2)2x), "(p)" 1/2),("(B)" lim_(x to oo) ((2x-1)/(2x+1))^(x) , "(q)"e^(-1/2)),("(C)" lim_(x to pi/2)(tanx)^(tan 2x) , "(r)" e^(-1)),("(D)" lim_(x to pi/4) tan2x tan(pi/4-x), "(s)" 1):}

lim_(x rarr0)(e^(x)-1-sin x-(tan^(2)x)/(2))/(x^(3))

The value of the definite integral (1)/(pi)int_((pi)/(2))^((5 pi)/(2))(e^(tan^(-1)(sin x)))/(e^(tan^(-1)(sin x)+e^(tan^(-1)(cos x)))dx is )

Period of f(x)=sin^(-1)(sin x)+e^(tan x) is

int(e^(x+a)-(1)/(sqrt(1-x^(2)))+tan^(2)x)dx :e^(x+a)-sin^-1x+tan^2x-x+C