Limited integral or integrated limit?

Calculus Level 1

If

0 π lim x 5 x 3 x x 2 x d x \displaystyle \int_0^\pi \displaystyle \lim_{x \to 5} \frac {x^3 - x}{x^2 - x} dx

can be resulted as n π n\pi , find the value of n n ?


The answer is 6.

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1 solution

Daniel Liu
Mar 30, 2014

The stuff inside the integral evaluates to 6 6 (plug in x = 5 x=5 ).

Now 0 π 6 d x \displaystyle\int_0^{\pi}6\text{ }dx is simply 6 π 6\pi , so our answer is 6 \boxed{6} . A troll problem. :P

Maybe a troll for you...not for beginners in calculus like me!

Krishna Ar - 7 years ago

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