examples, and problems from the community.

including olympiad champions, researchers, and professionals.

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

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Writing an integral down is only the first step. A toolkit of techniques can help find its value, from substitutions to trigonometry to partial fractions to differentiation.

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

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by **Brilliant Staff**

Evaluate \(\displaystyle{\int_0^{3}\frac{12x+6}{x^2+x+1}dx.}\)

examples, and problems from the community.

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by **Brilliant Staff**

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

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by **Brilliant Staff**

Evaluate \(\displaystyle{\int_0^\frac{\pi}{32}3\tan8xdx.}\)

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by **Brilliant Staff**

Using the substitution \(u=e^{x^2},\) evaluate \(\displaystyle{\int_0^{3}12x e^{x^2}dx.}\)

examples, and problems from the community.

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by **Brilliant Staff**

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