Sine: Integration (formula 01.06.21.0150)

Sin

$Mathematica Notation$

Elementary Functions

Sin[z]

Integration

Indefinite integration

Involving one direct function and elementary functions

Involving rational functions

Involving (a z+b)^-n

http://functions.wolfram.com/01.06.21.0150.01

Input Form

Integrate[(z^3 Sin[c z])/(a z + b)^2, z] == (1/a^5) (-((a^2 (-2 b + a z) Cos[c z])/c) + (a (a^2 b + b^3 c^2 + a^3 z) Sin[c z])/(c^2 (b + a z)) - b^2 (CosIntegral[c (b/a + z)] (b c Cos[(b c)/a] + 3 a Sin[(b c)/a]) + (-3 a Cos[(b c)/a] + b c Sin[(b c)/a]) SinIntegral[c (b/a + z)]))

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2002-12-18