10 Questions
For the function 𝒇(𝒙) = { √𝟗 − 𝒙𝟐 , −𝟑 ≤ 𝒙 ≤ 𝟑 −√𝟒 − (𝒙 − 𝟓)𝟐 , 𝟑 ≤ 𝒙 ≤ 𝟕 The ______ area between the curve of 𝑓(𝑥) and the 𝑥-axis in the interval [−3, 7] is………
net
The ______ area between the curve of 𝑓(𝑥) and the 𝑥-axis in the interval [−3, 7] is………
total
The ______ area between the curve of 𝑓(𝑥) and the 𝑥-axis in the interval [0, 5] is………
net
The ______ area between the curve of 𝑓(𝑥) and the 𝑥-axis in the interval [0, 5] is………
total
∫(1 + cos 2𝑥) ______ 𝑥 𝑑𝑥
cos2
∫ ______ 𝑥 cos2 𝑥 𝑑𝑥
sin4
∫ ______ 𝑑𝑥
√sin 𝑥
∫ ______ 𝑥 sec 𝑥 𝑑𝑥
sin3
∫ ______ 𝑥 tan2 𝑥 𝑑𝑥
sin2
∫ ______ 𝑥 cos 𝑥 cos 2𝑥 𝑑𝑥
sin2
Test your integration by partial fraction skills with this quiz sheet from the Integral Calculus course in Spring 2024. Solve various integrals involving partial fractions, exponentials, trigonometric functions, and more.
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