List questions from leibniz-integral-rule

Published on 23 Jan 2021 - 18:44

54

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Leibniz rule X Direct integral computation

Published on 25 Jan 2021 - 14:26

58

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Let $F\left(x\right)=\int_{t^2}^{x^3}{\frac{\mathrm{d}y}{\sqrt{x^2+y^4}}}$. Find $F'\left(x\right)$

Published on 31 Jan 2021 - 15:13

58

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How to find $F^{(n+1)}(x)$ if $F(x)=\int_0^x(x-t)^nu(t)dt$?

Published on 05 Feb 2021 - 17:23

253

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Leibnitz integral rule on double integral

Published on 17 Feb 2021 - 8:46

55

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Derivatives of integrals with Variable Bounds

Published on 25 Feb 2021 - 19:54

157

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Prove the Leibniz's integral rule in a rectangle

Published on 08 Mar 2021 - 21:00

264

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$f(t)^2<1+2\int_{0}^{t}f(s)\:ds$ Then prove that $f(t)<1+t$

Published on 26 Mar 2021 - 12:02

155

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If $\int_a^b e^{cosx}(380-x-x^2)dx$ attains its maximum value for some $(a,b)$, then the value of $b-a$ is?

Published on 30 Mar 2021 - 15:51

116

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Failing to understand some basic idea behind differentiation

Published on 06 Apr 2021 - 11:28

27

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Conditions on coefficients obtained when solving two equations

Published on 08 Apr 2021 - 8:24

797

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Leibniz rule for expected value

Published on 12 Apr 2021 - 10:38

877

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How alternating series with sine and cosine fit definition of Alternating Series?

Published on 14 Apr 2021 - 19:59

257

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Applying Leibniz's Rule to an Integral With Multiple Parameters

Published on 29 Apr 2021 - 10:54

117

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Does the limit $\lim _{x \rightarrow 0} \frac{\int_{0}^{x^{2}} \sin \sqrt{t} d t}{x^{3}}$ exists?

Published on 03 May 2021 - 6:45

List Question

Two variable definite integral

Leibniz rule X Direct integral computation

Let $F\left(x\right)=\int_{t^2}^{x^3}{\frac{\mathrm{d}y}{\sqrt{x^2+y^4}}}$. Find $F'\left(x\right)$

How to find $F^{(n+1)}(x)$ if $F(x)=\int_0^x(x-t)^nu(t)dt$?

Leibnitz integral rule on double integral

Derivatives of integrals with Variable Bounds

Prove the Leibniz's integral rule in a rectangle

$f(t)^2<1+2\int_{0}^{t}f(s)\:ds$ Then prove that $f(t)<1+t$

If $\int_a^b e^{cosx}(380-x-x^2)dx$ attains its maximum value for some $(a,b)$, then the value of $b-a$ is?

Failing to understand some basic idea behind differentiation

Conditions on coefficients obtained when solving two equations

Leibniz rule for expected value

How alternating series with sine and cosine fit definition of Alternating Series?

Applying Leibniz's Rule to an Integral With Multiple Parameters

Does the limit $\lim _{x \rightarrow 0} \frac{\int_{0}^{x^{2}} \sin \sqrt{t} d t}{x^{3}}$ exists?

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