Integral(2)

Calculus Level 3

If ∫ 1 2 2 x 4 + x − 2 x 5 − x 2 + x d x = ln ⁡ ( A B ) \displaystyle \int_1^2 \frac{2x^4+x-2}{x^5-x^2+x}dx = \ln \left(\frac{A}{B}\right) , where A A and B B are positive coprime integers, find A + B A+B .


The answer is 19.

<> <> by <> <> , 21, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

<> <>
Aug 17, 2017

Divide numerator and denominator by x 3 x^3 gives an integral in the form f ′ ( x ) f ( x ) \frac{f'(x)}{f(x)} which has integral ln ⁡ ( f ( x ) + C \ln(f(x)+C

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...