## Calculus 8th Edition

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Given $$\int _{-\pi/4}^{\pi/4}\frac{t^4\tan t}{2+\cos t}dt$$ Since $f(t)=\frac{t^4\tan t}{2+\cos t}$ is an odd function and continuous on $[-\pi/4,\pi/4]$, then $$\int _{-\pi/4}^{\pi/4}\frac{t^4\tan t}{2+\cos t}dt=0$$