12. Riemann Integration II

Properties Of The Integral — Quiz

Test your understanding of properties of the integral with 5 practice questions.

Practice Questions

Question 1

If $\int_a^b f(x)\,dx = 5$ and $\int_a^b g(x)\,dx = -2$, what is $\int_a^b (f(x)+g(x))\,dx$?

Question 2

What is $\int_0^3 4\,dx$?

Question 3

If $f(x)\ge 0$ for all $x$ in $[a,b]$, which statement must be true?

Question 4

If $\int_1^4 f(x)\,dx = 7$, what is $\int_4^1 f(x)\,dx$?

Question 5

If $\int_0^2 f(x)\,dx = 6$, what is $\int_0^2 (-3)f(x)\,dx$?