` "int_1^(2)((1)/(x)-(1)/(2x^(2)))dx`

Evaluate the integrals int_(1)^(2)((1)/(x)-(1)/(2x^(2)))e^(2x)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 the following definite integral: int_(1)^(2)e^(2x)((1)/(x)-(1)/(2x^(2)))dx

Evaluate: int_(1)^(2)(1)/((x+1)(x+2))dx( ii) int_(1)^(2)(1)/(x(1+x^(2)))dx

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

int_ (1) ^ (2) ((1) / (x) - (1) / (2x ^ (2))) e ^ (2x) dx

int1/((x-1)(x^(2)+1))dx=

int _(1)^(2) (1/x - 1/(2x^(2)))e^(2x) dx is equal to

" (1) "int(2x^(2)+1)/(1-2(x^(2)+4))dx

int_(0)^(1) (1)/(1+x+2x^(2))dx