(5) `int(2^(x)+3^(x))/(5^x)dx`

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

(5) int(x^(2)-1)/(x(2x-1))dx

(5) int(x^(2)-1)/(x(2x-1))dx

inte^(2x+5) dx

Evaluate: (i) int(x^5+x^(-2)+2)/(x^2)\ dx (ii) int(5\ x^4+12\ x^3+7\ x^2)/(x^2+x)\ dx

int(3sqrt(x)+(5)/(x))dx

Find following integrals (i) int(x^(5)-2)/(x^(4))dx (ii) int{x^((3)/(2))+4e^(x)+(1)/(x)}dx (iii) int cosecx{cosecx-cotx}dx (iv) int(1+sinx)/(cos^(2)x)dx

1. int(5x^(2)-x+2)/(x^(3)+x)dx

Evaluate: (i) int(x^2+x+5)/(3x+2)\ dx (ii) int(2x+3)/((x-1)^2)\ dx

(6) int(dx)/(x^(5)+x^(3))dx