Evaluate: (i) `inte^x\ (1/x-1/(x^2))\ dx` (ii) `inte^x\ (sinx+cosx)\ dx`

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

Evaluate: inte^x\ ((1-sinx)/(1-cosx))\ 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

Evaluate: (i) int1/(sqrt((x-1)(x-2)))\ dx (ii) int1/(sqrt(9+8x-x^2))\ dx

Evaluate: inte^x(1-sinx)/(1-cosx)dx

Evaluate: inte^x(sinx+cosx)dx

Evaluate: (i) int(1)/(e^(x)+1)dx (ii) int(cot x)/(log sin x)dx

Evaluate : (i) int((1+cosx))/((1-cosx))dx (ii) int((1+sinx))/((1+cosx))dx

inte^(x)(1-sinx)/(1-cosx)dx=

int(x-sinx)/(1-cosx)dx