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Year 12 Specialist (Unit 3 & 4) Applications of integral calculus

The fundamental theorem of calculus

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Question 1
196639
Use the fundamental theorem of calculus, \(\dfrac{d}{dx}\displaystyle\int_{a}^{x} f(t)\,dt = f(x)\), to find \(\dfrac{d}{dx}\displaystyle\int_{2}^{x} (t^{2}+1)\,dt\).
\(x^{2}+1\)

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