Question

`intx^x(1 + logx)dx` = ______ 

Options

• `1/2(1 + logx)^2 + c`

• `x^{2x} + c`

• `x^x logx + c`

• `x^x + c`

Answer 1

`intx^x(1 + logx)dx` = `underline(x^x + c)`

Explanation:

Since `d/dx(x^x) = x^x(1 + logx)`,

`intx^x(1 + logx)dx = x^x + c`