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Evaluate the definite integral.
$ \displaystyle \int^{\pi/4}_{-\pi/4} (x^3 + x^4 \tan x) \, dx $
0
02:48
Frank L.
Calculus 1 / AB
Chapter 5
Integrals
Section 5
The Substitution Rule
Integration
Campbell University
Oregon State University
University of Nottingham
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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.
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