SOLUTION: Without evaluating the integral, explain whether integral: (bounds -pi/4 to pi/4) tan^9theta d(theta)>0 is true or false.

SOLUTION: Without evaluating the integral, explain whether integral: (bounds -pi/4 to pi/4) tan^9theta d(theta)>0 is true or false.

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Question 1189189: Without evaluating the integral, explain whether integral: (bounds -pi/4 to pi/4) tan^9theta d(theta)>0 is true or false.

Answer by ikleyn(52873) (Show Source): You can put this solution on YOUR website!
.

This integral equals to zero,

since the function under the integral sign is an odd function of the argument,

and the lower and upper bounds are opposite numbers.

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