Question

`int(x^x)^x(2xlog_ex+x)dx` is equal to
A. `x(x^(x))+C`
B. `(x^(x))+C`
C. `x^(x).log_(e)x+C`
D. none of these

Answer 1

Correct Answer - b
Let `I=int(x^(x))(2xlog_(e)x+x)dx=intx^(x^(2))(2xlog_(e)x+x)dx`
`rArrI=int1.d(x^(x^(2)))=x^(x^(2))+C=(x^(x))^(x)+C`