Question

True or False

Answer 1

\[\int\limits_{0}^{3}f(x)g(x)dx=(\int\limits_{0}^{3}f(x)dx)(\int\limits_{0}^{3}g(x)dx)\]

Answer 2

False.
\[\int\limits_{0}^{3}f(x)g(x) dx = f(x)G(x) - \int\limits_{0}^{3}G(x)f'(x)dx\]

Answer 3

Perhaps we should let f(x) = u and g(x) dx = dv. Then
\[\int\limits_{}^{} u dv = uv - \int\limits_{}^{}v du\]

This method of integration is known as integrating by parts.

Answer 4

oh okay thank you it is more clear now