Question

F(x) is an even function and g is odd function eveluate each

Answer 1

\[\int\limits_{0}^{5}f(x) dx=8 \]

Answer 2

\[\int\limits_{0}^{5}g(x)dx=4 \]

Answer 3

evaluate\[\int\limits_{-5}^{5}(f(x)+g(x))dx\]

Answer 4

@hartnn

Answer 5

Even: f(x) = f(-x), like \(r(x) = \cos(x)\;or\;s(x) = x^{2}\)

Odd: f(x) = -f(-x), like \(r(x) = \sin(x)\;or\;s(x) = x^{3}\)

Consider \(\int\limits_{-a}^{a}t(x)\;dx = \int\limits_{-a}^{0}t(x)\;dx + \int\limits_{0}^{a}t(x)\;dx\)

Answer 6

You may wish to rethink what youahve typed in the beginning. I'm guessing you mean "f(x)", and not "F(x)".

Answer 7

it is f(x) and g(x)

Answer 8

Perfect. Now, let's see you break up that integral expression.