List questions from calculus

Published on 14 Apr 2026 - 5:42

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Recurrence relation: $a_n = 3a_{n-1} + 2n, a_0 = 1$

Published on 15 Apr 2026 - 9:50

159

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Improper integral for a one sided limit (Using CT)

Published on 12 Apr 2026 - 4:34

1.6k

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Area of largest inscribed rectangle in an ellipse. Can I square the area before taking the derivative?

Published on 14 Apr 2026 - 18:48

771

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The maximum value of a function

Published on 13 Apr 2026 - 6:11

40

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$f \in W^{1,\infty} \cap L^1 \implies \int_{R^n}f(x,\xi)g(\xi)d\xi \in W^{1,\infty}(\mathbb{R}^n)$

Published on 15 Apr 2026 - 16:14

69

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Need help with solving/simplifying a difficult infinite sum/limit

Published on 18 Apr 2026 - 2:43

113

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Derivative product rule $\frac{d}{dx}\sqrt{xe^{-3x}}$

Published on 14 Apr 2026 - 23:37

383

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Find the derivative of an integral using the fundamental theorem of calculus

Published on 13 Apr 2026 - 6:17

60

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Prove that $u(x)-u(y) \le d(x,y) \le u(x)+u(y)$

Published on 15 Apr 2026 - 3:27

79

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Integral of $\int \sin^5x\cdot \cos^3x \textrm{ d}x$, substituting $u=\cos x$ vs $u=\sin x$

Published on 25 Mar 2026 - 8:10

18.5k

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Find the complete integral $z=px + qy + pq$

Published on 13 Apr 2026 - 22:23

188

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Instantaneous velocity / average velocity question

Published on 11 Apr 2026 - 10:42

97

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Stochastic Geometry : Obtaining an Integral

Published on 25 Mar 2026 - 9:22

116

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Show $\sum_\limits{n=1}^{\infty}(1+\frac{1}{n})^{n^2}z^n$ is convergent.

Published on 18 Apr 2026 - 15:53

List Question

Limit of the following term

Recurrence relation: $a_n = 3a_{n-1} + 2n, a_0 = 1$

Improper integral for a one sided limit (Using CT)

Area of largest inscribed rectangle in an ellipse. Can I square the area before taking the derivative?

The maximum value of a function

$f \in W^{1,\infty} \cap L^1 \implies \int_{R^n}f(x,\xi)g(\xi)d\xi \in W^{1,\infty}(\mathbb{R}^n)$

Need help with solving/simplifying a difficult infinite sum/limit

Derivative product rule $\frac{d}{dx}\sqrt{xe^{-3x}}$

Find the derivative of an integral using the fundamental theorem of calculus

Prove that $u(x)-u(y) \le d(x,y) \le u(x)+u(y)$

Integral of $\int \sin^5x\cdot \cos^3x \textrm{ d}x$, substituting $u=\cos x$ vs $u=\sin x$

Find the complete integral $z=px + qy + pq$

Instantaneous velocity / average velocity question

Stochastic Geometry : Obtaining an Integral

Show $\sum_\limits{n=1}^{\infty}(1+\frac{1}{n})^{n^2}z^n$ is convergent.

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