`(i)e^(2//x)" "(ii)e^(sqrtx)" "(iii) e^(-2sqrtx)`

int e^(sqrtx) dx

(i)e^(cotx)" "(ii)e^(-sin 2x)" "(iii) e^(sqrt(sinx))

int e^sqrtx dx

Differentiate each of the following w.r.t. x: (i)e^(x^(2))" "(ii) e^(-3x)" "(iii) e^(cosx)

e^(tan^(-1)sqrtx)

Intergrate the following with respect to x (i) 3sqrt(x^5) (ii) sqrtx - (1)/(sqrtx) (iii) (sqrtx + (1)/(x) )^2

Differentiate : (i) (e^(x))/(x) , (ii) ((2x+3)/(x^(2) - 5)) , (iii) (e^(x))/((1+sinx))

If f(x) = e^(sqrtx) find f' (x) .

Integrate the following with respect to x. (i) e^(ax)cosbx (ii) e^(2x)sinx (iii) e^(-x)cos2x

(i) (3x^(2) +4x-5)/x (ii) ((x^(3) +1)(x-2))/x^(2) (iii) (x-4)/(2sqrtx) (iv) (( 1+x)sqrtx)/root3(x) (v) (ax^(2) +bx+c)/sqrtx (vi) (a+b cos x)/sin x