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Tangent half-angle substitution for $\int_0^{2 \pi} \frac{1- \cos x}{3 + \cos x}$

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#calculus #integration #definite-integrals #substitution
121
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Double integral involving partial derivatives: change to polar coordinates

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#integration #partial-derivative #polar-coordinates
81
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Why $e = \exp\left\{ -\int_0^1 \log y dy\right\}$?

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#calculus #integration
2.4k
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How to find the critical points $f(x)=\int_0^x(t-1)(t-3)\,\mathrm dt$

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#integration #derivatives
2.1k
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Does continuity imply integrability?

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#integration #continuity
129
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Square unit integrals

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#integration
117
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Is $L^p\cap L^q$ a real intersection?

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#integration #lp-spaces
279
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INTEGRATION $\int\frac{1}{\ln{x}}dx$?

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#integration
81
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Book recommendation multiple integration

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#integration #soft-question #book-recommendation
305
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How to compute integral on calculator?

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#integration #calculator
45
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What choices of $c, d$ would make $\int_{x=-\infty}^{x_0} (cx - d) \mathcal{N}(x; \mu, \sigma^2)\,dx $ positive?

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#real-analysis #probability #integration #analysis #functions
32
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Change bounds of integral

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#integration
39
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Fundamental Integral theorem for functionals

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#integration #functional-analysis
4.6k
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How do you change the order of integration without sketching?

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#calculus #integration #multivariable-calculus
641
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Using Leibniz Rule to Find an Expression

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#integration #multivariable-calculus

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