Find `int(e^x(1+x))/(cos^2(x e^x))dx`

Evaluate: int((x+1)e^x)/(cos^2(x e^x))dx

Evaluate: int((x+1)e^x)/(cos^2(x e^x))\ dx

int(1)/(x cos^(2)(log_(e)x))dx

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

int(e^x)/((1+e^x)(2+e^x))dx

Evaluate : int (e^(x)-e^(-x))/(e^(x)+e^(-x))dx

Evaluate the following: (i) int(sec^(2)x)/(3+tanx)dx " (ii) " int(e^(x)-e^(-x))/(e^(x)+e^(-x))dx (iii) int(1-tanx)/(1+tanx)dx " (iv) " int(1)/(1+e^(-x))dx

int(e^(x)+cos x)/(e^(x) +sin x) dx

(i) int (e^(x) .(1-x))/(x^(2))dx (ii) int ((1+sin x)/(1+cos x))e^(x) dx

Evaluate int e^(2x) ((1+ sin 2x)/(1+cos 2x))dx