`inte^(x-1/x)(1+1/x^2)dx`

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

inte^(tan^-1x)(1+x/(1+x^2))dx

Evaluate: inte^(tan^-1x)(1+x/(1+x^2))dx

Evaluate : (i) inte^(x)((1)/(x)-(1)/(x^(2)))dx (ii) inte^(x)((1)/(x^(2))-(2)/(x^(3)))dx (iii) inte^(x){sin^(-1)x+(1)/(sqrt(1-x^(2)))}dx (iv) inte^(x)(tanx+logsecx)dx

int(e^(x))/((1+x)^(3))dx-int(e^(x))/(2(1+x)^(2))dx=

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

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

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

int(x-1)/(x+1)^(2)dx=