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Calculus/integrations of trigonometric functions

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Expert: - 1/3/2010


Question
how do you integrate sin^3(x)+ cos^3(x)??
please please i need a detailed answer

Answer
how do you integrate sin^3(x)+ cos^3(x)??
.............................
Write the first term:

sin^3(x) = sin x( sin^2(x))

sin^3(x) = sin x( 1 - cos^2(x))

Now use the substitution:  u = cos x
........................
Write the second term:

cos^3(x) = cos x( cos^2(x))

etc.

........................
You can handle the rest.  

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