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Numerade Educator

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Problem 67 Hard Difficulty

Which of the integrals $ \displaystyle \int^2_1 \arctan x \,dx $, $ \displaystyle \int^2_1 \arctan \sqrt{x} \,dx $, and $ \displaystyle \int^2_1 \arctan (\sin x) \,dx $ has the largest value? Why?

Answer

$\int_{1}^{2} \arctan x d x$

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we know the art Innovex isn't increasing function. Therefore, we know that our content signed X is less than or equal to, which is less than or equal to work. Tin of Axe. Therefore, we know that the integral from wondered too of Arc 10 of axe detox has the largest value because it correlates to this.