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Quiz 3 in Math 252: Antiderivatives and Definite Integrals - Prof. Gary A. Church, Quizzes of Analytical Geometry and Calculus

A list of problems from a university-level math 252 calculus quiz. Students are required to find antiderivatives or evaluate definite integrals using various integration techniques such as integration by parts, substitution, and trigonometric substitution. The document also includes hints to help guide the students in solving the problems.

Typology: Quizzes

Pre 2010

Uploaded on 08/18/2009

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koofers-user-wzq 🇺🇸

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Math 252 Quiz 3 Name
Find the antiderivative or value of the definite integral as appropriate. You must show your work to get credit.
p.457, #8 Zx2cos(mx)dx. Hint: Integration by parts.
p.457, #28 Z2
1
(ln x)2
x3dx. Hint: First make the substitution u=ln x, then try integration by parts.
p.465, #16 Zcos θcos5(sin θ).
p.468, #38 Zπ/2
π/4
cot3x dx.
p.472, #6 Z2
1px21
xdx. Hint: Try a trig. substitution.
March 11, 2009

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Math 252 Quiz 3 Name

Find the antiderivative or value of the definite integral as appropriate. You must show your work to get credit. p.457, #8^ ∫ x^2 cos( mx ) dx. Hint: Integration by parts. p.457, #28^ ∫^12 (ln x^ x 3 )^2 dx. Hint: First make the substitution u = ln x , then try integration by parts. p.465, #16^ ∫ cos θ cos^5 (sin θ ) . p.468, #38^ ∫^ π/π/ 42 cot^3 x dx.

p.472, #6^ ∫^12 √ x (^2) − 1 x dx. Hint: Try a trig. substitution.

March 11, 2009