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1999 Calculus #3: Interesting Integral with Irrational Bound

Source:

June 21, 2012
calculusintegrationtrigonometryfunction

Problem Statement

Find 4π24π2(sinx1+x4+1)dx.\int_{-4\pi\sqrt{2}}^{4\pi\sqrt{2}}\left(\dfrac{\sin x}{1+x^4}+1\right)dx.