[17-10-17]_[1910]_RecitationPlan-upload.pdf - O NE-PAGE R EVIEW MATH 1910 Recitation Sections 8.1 8.2(Integration By Parts Trig Integrals \u2022 The

# [17-10-17]_[1910]_RecitationPlan-upload.pdf - O NE-PAGE R...

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O NE -P AGE R EVIEW MATH 1910 Recitation Sections 8.1 - 8.2 (Integration By Parts, Trig Integrals) October 17, 2017 The technique of integration by parts allows us to transform an indefinite integral of the product of a function and the derivative of an other: Z u ( x ) v 0 ( x ) dx = ( 1 ) . We can also use integration by parts to find definite integrals: Z b a u ( x ) v 0 ( x ) dx = ( 2 ) . Indefinite integrals involving products of trigonometric functions can be solved using a combination of trig identities, substitution, and integration by parts. For example, to evaluate R sin 2k + 1 x cos x dx (odd power of sine), write Z sin 2k + 1 x cos x dx = ( 3 ) and then use the substitution ( 4 ) . P ROBLEM S ET MATH 1910 Recitation Sections 8.1 - 8.2 (Integration By Parts, Trig Integrals) October 17, 2017 1. Evaluate the following indefinite integrals. (a) Z xe - x dx