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Intergration using the REDUCTION FORMULAE

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keni4eva

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Pls intergrate the attached questions using the REDUCTION FORMULAE
 

kvsm2k

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Hi,
what u send the integral equation if one of the theory.
U can see in any intermediate maths book in that go to integration section, then u can easily get the proof of and other methods also.
 

SWINI

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solution follows as:
let I=∫eax cos bx dx
I=(e ax cos bx/a) + ∫(b/a)(e ax) (sin bx) dx
I=(e ax)(cos bx)/a + { (b/a(e ax)(sin bx))-b²/a²I}
I=(e ax)(acos bx+b sin bx)/(a²+b²)


have any more doubts in this solution plz kindly reply????
 

pankajrangaree1

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1st integration of second minus integration of d/dx of 1st into integration of second.i think this is the reductionn formula
 

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