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$\int^x_0 f (t) $dt =F(x) for every ∈ [0,2]

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#integration #definite-integrals
238
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Convergent integral of divergent exponential function

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#integration #definite-integrals #improper-integrals
268
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Are the following equalities true?

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#integration
324
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Construct such function, that can't be integrated on an interval, but its square is integrable on the interval

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#calculus #integration
79
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Is $\int_{A_t} \frac{1}{|x_j|^{p}}\, dx \leq \sum_{j=1}^{d} \int_{A_{j,t}}\frac{1}{|x_j|^p}\, dx \leq \int_{A_t} \frac{1}{|x|^p} \,dx$?

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#integration #measure-theory #inequality #lp-spaces #oscillatory-integral
60
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Show that $ \sum n|A_n| $ converges

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#integration #measure-theory #lebesgue-measure
95
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About a continuous function satisfying a given integral equation

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#real-analysis #integration #functions
211
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Minimum value of volume of solid created by rotating $f(x) = \frac{p^2}{x^p}$ about $x$-axis from $[1,\infty)$

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#calculus #integration #improper-integrals #solid-of-revolution
453
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Finding the limit of the integral

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#real-analysis #calculus #integration #limits #riemann-integration
117
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On the integral $-\int\log\left(\binom{1-x}{6}+\binom{x}{6}\right)dx$, and its definite integral over the unit interval

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#integration #definite-integrals #binomial-coefficients #closed-form
84
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Triple integral: $\int_0^{x} \int_{a-x}^{a} \int_0^{b} f(c ) \ dc \ db \ da$

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#real-analysis #integration #functional-analysis #analysis #measure-theory
146
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AP Calculus Fundamental Theorem of Calculus

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#calculus #integration #derivatives #definite-integrals #exponential-function
162
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$\sum_{k=1}^{n} \frac{1}{n+k} < \ln 2$

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#calculus #integration #inequality #solution-verification #integral-inequality
140
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Show $\oint_C (Pdx+Qdy) \,=2\pi$ if $P$ and $Q$ aren't $C^1$

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#integration #vector-analysis #greens-theorem
88
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Messy complex integral

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#calculus #integration #definite-integrals

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