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wolfram-mathematicasymbolic-integration
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Reputation: 31

Solution of symbolic integration in Wolfram-Mathematica

I am trying to get the solution of the following symbolic integral using Wolfram-Mathematica:

Integrate[1/(w^2 + l^2 + 2*l*w*Sin[t*w]), w]

but it does not return any solutions. Any ideas how to fix this?

Upvotes: 2

Views: 378

Answers (1)

Bart Romeny
Bart Romeny

Reputation: 27

When you encounter trigonometric functions (sin, cos), it is often useful to go to the exponential form (see the Help on TrigToExp).

This solves your integral easily:

solutionExp = Integrate[TrigToExp[w^2 + l^2 + 2 l w Sin[t w]], w]

This solution can be brought back to trigonometric form with ExpToTrig:

solutionTrig = ExpToTrig[solutionExp]

Upvotes: 3

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