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Numerade Educator



Problem 61 Medium Difficulty

Evaluate the definite integral.

$ \displaystyle \int^{\pi/4}_{-\pi/4} (x^3 + x^4 \tan x) \, dx $



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Video Transcript

Okay, The first thing we know we could do for this is evaluate half of negative acts, So simply plug in negative acts everywhere. Worry you would otherwise have a positive X. As you can see, the function is odd from Night of X is the same thing as negative aftereffects. Therefore, because we know due to the cemetery, we know that because it's odd, it's simply gonna be zero as our solution because we're having the same thing minus the same thing. So, for example, X minus X. Therefore, this gives us zero is our solution for the integral. So this method of cemetery is a shortcut to figure out the solution to the integral.