List questions from calculus

Published on 29 Apr 2026 - 12:53

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Solve $x^2y''-xy'+y=0$ given that $y_1=x$ using reduction of order

Published on 23 Apr 2026 - 11:07

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How to integrate a function that is recursive?

Published on 10 Apr 2026 - 0:18

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Suppose $f(x)$ is linear i.e. $f(x + y) = f(x) +f(y) $ and monotone on $[-\infty, +\infty]$, then $f(x) = ax$, a real.

Published on 15 Apr 2026 - 9:28

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Leibniz Rule for interchanging integral and differentiation

Published on 13 Apr 2026 - 7:25

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Proving the product rule for limits

Published on 12 Apr 2026 - 10:39

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What would be the limit of $\frac{2000000^{x}}{2^{x^2}}$ as $x$ approaches infinity?

Published on 14 Apr 2026 - 16:50

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Find best specified range within sequence of numbers

Published on 16 Apr 2026 - 1:13

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Prove that if E(a+b)=E(a)*E(b) for all a and b, then E is differentiable.

Published on 16 Apr 2026 - 4:41

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Limit to Infinity of Ratio of Polynomials

Published on 11 Apr 2026 - 8:49

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Proving the exponential derivative with limited information

Published on 14 Apr 2026 - 13:48

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Homeomorphism between two sets

Published on 12 Apr 2026 - 0:13

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How to compute this integral involving trig?

Published on 11 Apr 2026 - 10:02

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Showing that a limit is false, did I prove it?

Published on 12 Apr 2026 - 3:35

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"Constant" points of an increasing function

Published on 11 Apr 2026 - 19:46

List Question

Compute $\frac{d}{dx(t)}\int_0^Tx(\tau)^TAx(\tau)d\tau$

Solve $x^2y''-xy'+y=0$ given that $y_1=x$ using reduction of order

How to integrate a function that is recursive?

Suppose $f(x)$ is linear i.e. $f(x + y) = f(x) +f(y) $ and monotone on $[-\infty, +\infty]$, then $f(x) = ax$, a real.

Leibniz Rule for interchanging integral and differentiation

Proving the product rule for limits

What would be the limit of $\frac{2000000^{x}}{2^{x^2}}$ as $x$ approaches infinity?

Find best specified range within sequence of numbers

Prove that if E(a+b)=E(a)*E(b) for all a and b, then E is differentiable.

Limit to Infinity of Ratio of Polynomials

Proving the exponential derivative with limited information

Homeomorphism between two sets

How to compute this integral involving trig?

Showing that a limit is false, did I prove it?

"Constant" points of an increasing function

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