`int(d x)/((x+1)(x^2+1))`

Find int(d x)/((x+1)(x+2))

int (dx)/((x+1)(2x+1)) (ii) int (x-1)/((x-2)(x-3)) dx .

Find int( x^2)/((x^2+1)(x^2+4)) d x

Evaluate int( d x)/(2 x^2+5 x+1)

int(d x)/(x(x^4+1))=

If int (dx)/(x ^(4) (1+x^(2)))=a ln |(1+x ^(3))/(x ^(3))| +(b)/(x ^(3)) +(c)/(1+ x^(2)) +d. then (where d is arbitrary constant)

int (d(log x))/(x+1)

STATEMENT-1 : int(dx)/(e^(x)+e^(-x)+2)=-(1)/(e^(x)+1)+c and STATEMENT-2 : int(d(f(x)))/((f(x))^(2))=-(1)/(f(x))+c

STATEMENT-1 : int(dx)/(e^(x)+e^(-x)+2)=-(1)/(e^(x)+1)+c and STATEMENT-2 : int(d(f(x)))/((f(x))^(2))=-(1)/(f(x))+c

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