SOLVED: Evaluate the following integral using integration by parts. ∫ (x cos x) dx Use the integration by parts formula so that the new integral is simpler than the original one. Choose: A. ∫ (x s

Calculus 2: How Do You Integrate? (11 of 300) Find the Integral of … 1/x (Method 2)
Calculus 2: How Do You Integrate? (11 of 300) Find the Integral of … 1/x (Method 2)

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Evaluate the following integral using integration by parts.
∫ (x cos x) dx
Use the integration by parts formula so that the new integral is simpler than the original one. Choose:
A. ∫ (x sin x) dx
B. ∫ (sin x) dx
C. ∫ (cos x) dx
D. ∫ (cos x) dx
Evaluate the integral:
∫ (x cos x) dx =
(Type an exact answer; Use as needed)

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a. ∫x sin(x)dx = x(-cos(x)) – ∫(-sin(x))dxb. ∫x sin(x)dx = -x cos(x) – ∫sin(x)dxc. ∫x sin(x)dx = -x cos(x) + ∫cos(x)dxd. ∫x sin(x)dx = x sin(x) – ∫(-sin(x))dx

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Evaluate the following integrals using integration by parts.$$\int x \sin x \cos x \ d x$$

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$$\text { Integration by parts Evaluate the following integrals.}$$$$\int x \sin x \cos x \, d x$$

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Evaluate $ \displaystyle \int \sin x \cos x dx $ by four methods:

(a) the substitution $ u = \cos x $ (b) the substitution $ u = \sin x $ (c) the identity $ \sin 2x = 2 \sin x \cos x $ (d) integration by partsExplain the different appearances of the answers.

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You are watching: SOLVED: Evaluate the following integral using integration by parts. ∫ (x cos x) dx Use the integration by parts formula so that the new integral is simpler than the original one. Choose: A. ∫ (x s. Info created by THVinhTuy selection and synthesis along with other related topics.

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