Home
Class 12
MATHS
Evaluate: int(log(logx)+1/((logx)^2))dx...

Evaluate: `int(log(logx)+1/((logx)^2))dx`

Text Solution

Verified by Experts

`int(log(logx)+(1)/((log x)^(2)))dx`
`=int1*log(logx)dx+int(dx)/((log x)^(2))`
`=xlog(logx)-int(1)/(xlog x)xdx+int(dx)/((log x)^(2))+c`
`=xlog(logx)-int(log x)^(-1)dx+int(dx)/((log x)^(2))+c`
`=xlog(logx)-[x(log x)^(-1)+int(log x)^(-2)dx]+int(log x)^(-2)dx+c`
`=xlog(logx)-x(log x)^(-1)+c`
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate int(logx)/((1+logx)^(2))dx .

Evaluate int((log x-1)/(1+(logx)^(2)))^(2)dx

Evaluate int(cot(logx))/(x)dx

Evaluate int(logx)^(2)dx

Evaluate int_(1)^(2)(1)/(x(1+logx)^(2))dx .

Evaluate int((x+1)/(x))(x+logx)^(2)dx

Evaluate int(3logx)/(x)dx .

Evaluate int sin(logx)dx .

Evaluate: intsin^2(logx)dx

Evaluate: int((cosx)/x-logx^(sinx))dxdot