Functions and Calculus-2

Calculus Level 3

Let f ( x ) f(x) be a function satisfying f ′ ( x ) = f ( x ) f'(x) = f(x) with f ( 0 ) = 1 f(0) = 1 and g g be a function satisfying f ( x ) + g ( x ) = x f(x) + g(x) = x . Compute ∫ 0 1 f ( x ) g ( x ) d x \displaystyle \int_0^1 f(x) g(x) \, dx .

e − 2 4 \frac{e-2}4 3 − e 2 2 \frac{3-e^2}2 e 2 2 \frac{e^2}2 e 2 − 3 2 \frac{e^2-3}2

Dharani Chinta by Dharani Chinta , 22, 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

Raj Rajput
Jun 3, 2016

8 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...