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Can I use Leibniz' rule to differentiate when integral is $\int_0^\gamma f(\gamma,s)dF(s)$, instead of $\int_0^\gamma f(\gamma,s)ds$ ($F$ is a CDF)

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#calculus #integration #derivatives
64
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Summation series question divergent inequality

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#calculus #integration #inequality #summation #integral-inequality
53
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Left/right hand (partial) derivative w.r.t $x$ of $\int_a^x f(x,t)dF(t)$, where $F$ is a CDF.

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#integration #limits #probability-distributions #lebesgue-integral
51
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Closed-form expression for a nested integral

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#integration #analysis #trigonometric-integrals
240
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Volume of cannoli

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#integration #3d #volume
261
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Integration of Dirac delta over finite interval

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#integration #distribution-theory #dirac-delta
91
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Strange definite integral

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#integration #definite-integrals
51
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Solving $\iint _D \frac{y}{x^5 + 1} dA$

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#calculus #real-analysis #integration #multivariable-calculus
30
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Help interpreting integration question/determining limits

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#calculus #integration #limits
114
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Integral using polar coordinates in high dimension.

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#integration #definite-integrals #lebesgue-integral
82
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Recursive formula of $I_n=\int\frac{dx}{(x^2+a^2)^n}$

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#calculus #integration #derivatives
231
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Surface area of ​the figure of rotation

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#calculus #real-analysis #integration #surfaces #surface-integrals
54
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How to find $a$ that solves the following equation for $x > 0$?

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#integration #derivatives
129
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Multivariate exponential integral

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#integration
187
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$L^2$ equality implies $L^1$ equality or a.e. equality?

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#real-analysis #integration #functional-analysis #analysis #measure-theory

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