Worksheet__1.4 - Calculus II Spring 2009 Worksheet 1.4...

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Calculus II Spring 2009 Worksheet 1.4 Evaluate the following integral Z π 2 0 cos 2 ( θ ) sin 3 ( θ ) dθ. Solution. One writes Z π 2 0 cos 2 ( θ ) sin 3 ( θ ) = Z π 2 0 cos 2 ( θ ) sin 2 ( θ ) sin ( θ ) = Z π 2 0 cos 2 ( θ )(1 - cos 2 ( θ )) sin ( θ ) = Z π 2 0 cos 2 ( θ ) sin ( θ ) - Z π 2 0 cos 4 ( θ ) sin ( θ ) = - Z π 2 0 cos 2 ( θ ) d cos ( θ ) + Z π 2 0 cos 4 ( θ
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This note was uploaded on 02/09/2009 for the course MATH 1020 taught by Professor Ecker during the Spring '08 term at Rensselaer Polytechnic Institute.

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