Finding a definite integral

Calculus Level pending

f ′ ( x ) = 12 x 5 + 4 x 3 + 4 x 2 + 7 f'(x) = 12x^5+4x^3+4x^2+7

The definite integral of f ′ ( x ) f'(x) between the limits x = 0 x=0 & x = 4 x=4 can be written as a fraction a b \frac{a}{b} , where a a and b b are coprime positive integers.

Find a + b a + b .


The answer is 25687.

Marshall Lockett by Marshall Lockett , 29, United Kingdom

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

Marshall Lockett
Apr 23, 2018

Integral of f ′ ( x ) f'(x) = f ( x ) f(x)

f ( x ) f(x) = 2 x 6 + x 4 + 4 x 3 3 + 7 x + c 2x^6 + x^4 + \frac{4x^3}{3} +7x + c (ignore c c as this is a definite integral)

Inputting values correctly should give 25684 3 \frac{25684}{3}

hence a + b = 25684 + 3 = 25687 a + b = 25684 + 3 = 25687

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...