x के सापेक्ष समाकलन कीजिए -
`(e^(1)//x^(2))/(x^(3))`

(1)/(e^(3x)+e^(-3x))

int e^(x)((1)/(x^(2))-(2)/(x^(3)))dx

int (e^(3x)+1)^2 e^(3x)dx

निम्न समीकरण को हल कीजिए - tan^(-1)(x-1)+tan^(-1)(x)+tan^(-1)(x+1)=tan^(-1) 3 x

int (e^(4x)-2e^(3x)+5e^(x)-2)/(e^(x)+1)dx

int(e^((x)/(2))-1)^(3)e^((x)/(2))dx

Prove that, int (e^(x))/(x^(4))dx=-(e^(x))/(3)[(1)/(x^(3))+(1)/(2x^(2))+(1)/(2x)]+(1)/(6)int (e^(x))/(x)dx .

A : (a-b)/(a)+(1)/(2)((a-b)/(a))^(2)+(1)/(3)((a-b)/(a))^(3)+....=log_(e)((a)/(b)) R : log_(e)(1-x)=-x-(x^(2))/(2)-(x^(3))/(3)-(x^(4))/(4)-....