9 Questions
What is the net area between the curve of 𝑓(𝑥) and the 𝑥-axis in the interval [-3, 7]?
38 sq. units
What is the total area between the curve of 𝑓(𝑥) and the 𝑥-axis in the interval [-3, 7]?
28 sq. units
What is the net area between the curve of 𝑓(𝑥) and the 𝑥-axis in the interval [0, 5]?
-2 sq. units
What is the total area between the curve of 𝑓(𝑥) and the 𝑥-axis in the interval [0, 5]?
12 sq. units
What is the integral of ∫(1 + cos 2𝑥) cos2 𝑥 𝑑𝑥?
$\frac{1}{2}x + \frac{1}{4}\sin 4x + C$
What is ∫ sin4 𝑥 cos2 𝑥 𝑑𝑥 equal to?
$\frac{1}{2}x - \frac{1}{6}\cos 6x + C$
Evaluate ∫ sec3 2𝑥 cot 2𝑥 1−cos4 𝑥 sin 𝑥 cos5 𝑥 𝑑𝑥.
$-\ln|\cos x| + C$
What is ∫ tan4 𝑥 sec4 𝑥 tan2 𝑥 𝑑𝑥 equal to?
$\frac{1}{5}\tan^5 x + C$
What is ∫ cos ln 𝑥 𝑑𝑥?
$xcos(ln(x)) + C$
Test your skills on integration by partial fractions with this practice sheet from the Integral Calculus class in Spring 2024. This sheet includes a variety of integrals for you to evaluate and improve your understanding of the topic.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
