int((a^(x)-b^(x))^(2))/(a^(x)b^(x))dx,(a>0,a!=1

Evaluate the integerals. int ((a ^(x) -b^(x))^(2))/(a ^(x)b^(x))dx, (a gt0, a ne 1 and b gt 0,b ne 1)on R.

Evaluate: (i) int(2^(x)+3^(x))/(5^(x))dx (ii) int((a^(x)+b^(x))^(2))/(a^(x)b^(x))dx

int_(0)^(x)(a^(-x)-b^(-x))dx=

int_(0)^(oo)(a^(-x)-b^(-x))dx

Evaluate int (a^x+b^x)^2/(a^x b^x) dx

int_(0)^(oo)(a^(-x)-b^(-x))dx=

int_(0)^(1)(x^(a)-b^(b))/(log x)dx

int_(0)^(1)(dx)/((x-a)(x-b))=

If int_(0)^(1)((1-x^(2))/(1+x^(2)+x^(4)))dx=a ln b, then