Formulas for Structural Dynamics: Tables, Graphs and Solutions
By Olga I. Lebed

Appendix C: Some Useful Definite Integrals

Integrals containing the sin and cos functions

Some indefinite integrals containing the sin and cos functions

? sin 2 u d u = ? sin 2 u + + c

? cos 2 u d u= ? sin 2 u + u + c

? u sin u d u = sin u ? u cos u + c

? u cos u d u = cos u + u sin u + c

? u 2 sin u d u = 2 u sin u ? ( u 2 ? 2) cos u + c

? u 2 cos u d u ? 2 u cos u + ( u 2 ? 2) sin u + c

? u 3 sin u d u = (3 u 2 ?6) sin u ? ( u 3 ? 6 u) cos u + c

? u 3 cos u d u = (3 u 2 ?2) cos u + ( u 3 ? 6) sin u + c

Copyright The McGraw-Hill Companies, Inc. 2001 under license agreement with Books24x7
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