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

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


   

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(52856) About Me  (Show Source):
You can put this solution on YOUR website!
.

This integral equals to zero,

since the function under the integral sign tan%5E9%28theta%29 is an odd function of the argument,

and the lower and upper bounds are opposite numbers.