Calculus for JEE (Foundations)

Calculus for JEE: core idea

• 1. $\int_0^2 x\,dx$?

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• 2. $\lim_{x\to0}\sin x/x$?

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• 3. Max of $-x^2$ at $x=$?

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• 4. $\dfrac{d}{dx}\sin x$ at $0$?

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• 5. $\int\cos x\,dx$ evaluated $0$ to $\pi/2$?

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• 6. Slope of $x^3$ at $1$?

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• 7. $\int_0^1 x\,dx$?

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• 8. Stationary point of $x^2-4x$: $x=$?

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• 9. Area of $2\times3$ rectangle?

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