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AP Calculus BC/Unit 8: Applications of Integration
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Solving for a Limit of Integration

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What value of $t > 1$ satisfies the equation ∫1t1xdx=3−1t\int_{1}^{t}\frac{1}{\sqrt{x}}dx = 3 - \frac{1}{t}?

A

(1+2)2+12\frac{\left(1+\sqrt{2}\right)^2+1}{2}

B

(1−2)2\left(1-\sqrt{2}\right)^2

C

14\frac{1}{4}

D

(1+2)2\left(1+\sqrt{2}\right)^2

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