Question

How do I find the integral of like four integrals that are combined?

Answer 1

\[\int\limits_{a}^{b}f(x)dx=13, \int\limits_{a}^{b}(f(x))^2dx=8, \int\limits_{a}^{b} g(t)dt=7, and \int\limits_{a}^{b} (g(t))^2dt=10\]

Answer 2

Given that find the integral \[\int\limits_{a}^{b}(f(x))^2-(g(x))^2)dx\]

Answer 3

well it may be a typo by your integrals are involving different variables.... one x and one t.

but your problem can be written as, using some of the basic rules of integrals

\[\int\limits_{a}^{b}( f(x))^2 dx - \int\limits_{a}^{b} (g(x))^2 dx\]

now you can substitute the values and get

8 - 10 = -2

Answer 4

so -2 is the answer?

Answer 5

Ohhhh okay I get it! Thank you!!! :)

Answer 6

glad to help