6. Integration and Accumulation of Change

Applying Properties Of Definite Integrals — Quiz

Test your understanding of applying properties of definite integrals with 5 practice questions.

Practice Questions

Question 1

If $\int_a^b f(x)\,dx=5$, what is $\int_b^a f(x)\,dx$?

Question 2

If $\int_0^4 f(x)\,dx=7$ and $\int_0^4 g(x)\,dx=3$, what is $\int_0^4 \bigl(f(x)+g(x)\bigr)\,dx$?

Question 3

If $\int_1^5 f(x)\,dx=12$, then what is $\int_1^5 3f(x)\,dx$?

Question 4

Which property explains why $\int_2^6 c\,dx=c(6-2)$ for a constant $c$?

Question 5

If $\int_0^3 f(x)\,dx=8$ and $\int_3^7 f(x)\,dx=-2$, what is $\int_0^7 f(x)\,dx$?