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
Which property of definite integrals says that $\int_a^b f(x)\,dx=-\int_b^a f(x)\,dx$?
Question 2
What is $\int_a^a f(x)\,dx$ for any integrable function $f$?
Question 3
Which property justifies $\int_a^b \big(f(x)+g(x)\big)\,dx=\int_a^b f(x)\,dx+\int_a^b g(x)\,dx$?
Question 4
If $\int_0^4 f(x)\,dx=7$, what is $\int_0^4 3f(x)\,dx$?
Question 5
If $\int_1^5 f(x)\,dx=12$, what is $\int_1^3 f(x)\,dx+\int_3^5 f(x)\,dx$?