Integral Calculus Question 325

Question: $ \int_{{}}^{{}}{\log xdx=} $

[MNR 1979; BIT Ranchi 1992; SCRA 1996]

Options:

A) $ x+x\log x+c $

B) $ x\log x-x+c $

C) $ x^{2}\log x+c $

D) $ \frac{1}{x}\log x+x+c $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \int_{{}}^{{}}{\log x,dx}=x\log x-\int_{{}}^{{}}{x,.,\frac{1}{x},dx+c=x\log x-x+c} $ Note : Students should remember this question as a formula.