Sine: Integration (formula 01.06.21.0885)

Sin

$Mathematica Notation$

Elementary Functions

Sin[z]

Integration

Indefinite integration

Involving functions of the direct function

Involving algebraic functions of the direct function

Involving ((a+b sin(c z))^nu)^beta

http://functions.wolfram.com/01.06.21.0885.01

Input Form

Integrate[((a + b Sin[c z])^\[Nu])^\[Beta], z] == (1/(b c (1 + \[Beta] \[Nu]))) (AppellF1[1 + \[Beta] \[Nu], 1/2, 1/2, 2 + \[Beta] \[Nu], (a + b Sin[c z])/(a - b), (a + b Sin[c z])/(a + b)] Sec[c z] Sqrt[(b (1 + Sin[c z]))/(-a + b)] Sqrt[(b - b Sin[c z])/(a + b)] (a + b Sin[c z]) ((a + b Sin[c z])^\[Nu])^\[Beta])

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