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Exponential CDF to a higher power of $X$

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#probability #integration #exponential-function
289
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$\exists c>0$ such that $ (z-x)\int_z^y{f(t)dt} - (y-z)\int_x^z{f(t)dt \geq c(z-x)(y-z)}$

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#real-analysis #integration #definite-integrals #integral-inequality
96
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How to solve $\int \frac{4x}{\sqrt{(x-1})^3}$ by substitution?

Published on
#calculus #integration
62
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Integral with Dirac delta.

Published on
#integration #measure-theory #lebesgue-measure
179
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How do I scale my parabolas so that their integrals over [0,1] are always the same?

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#integration #conic-sections #mathematical-modeling
914
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Proving integral diverges limits

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#integration #definite-integrals #improper-integrals
66
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For two partitions of an interval any subinterval of the one with the strictly smaller mesh is contained in one or two adjacent ones of the other.

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#real-analysis #integration #partitions-for-integration
285
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Find the line that divides a bounded 2d region into 2 equal areas.

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#calculus #integration #definite-integrals
57
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Integral involving multiple variables

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#calculus #integration #indefinite-integrals #substitution
136
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Evaluating a definite integral with hypergeometric function

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#calculus #integration #definite-integrals #hypergeometric-function
49
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Double integral with multiple conditions

Published on
#integration #area
1.1k
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Integral $\int\frac{1}{x^2\log x}dx.$

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#calculus #integration #indefinite-integrals
98
Views

Reducing this principal value integral to something I can evaluate numerically

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#integration #numerical-methods #cauchy-principal-value
75
Views

How to Laplace transform the $\sin$ and handle $\Im(\cdot)$ inside integrals?

Published on
#calculus #integration #laplace-transform
109
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What is the proof of $x\ln x - x = x\ln\left(\frac{x}2\right)$?

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#integration #derivatives #logarithms

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