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Show that it is possible that the limit $\displaystyle{\lim_{x \rightarrow +\infty} f'(x)} $ does not exist.

Compute this integral

Integrate $\int \cos^4 x\,\mathrm dx.$

Help computing an integral for Green's function of a discrete Laplacian on a square lattice

Computation of $\int_{-\infty}^{\infty} \left(\frac{\sin x}{x}\right)^2e^{itx}dx$ for real $t$ [duplicate]

How to evaluate $\int \frac { \sin x+\cos x }{ \sin^4 x+\cos^4x}\, dx$?

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^2=\frac{\pi^2}{24}$

Limit with integral or is this function continuous?

Interchanging Summation and Integral

Integrating :$\int\sqrt{\sin x} \cos^{\frac{3}{2}}x dx$

Prove range for derivative given $3$ definite integrals

Help on an integral.

Definitions of Lebesgue integral

Integration validity of $\int\frac{1}{\sqrt{a^2 + x^2}}\,dx$

Example of distinctions between multiple integral and iterated integrals.

New posts in integration

How to evaluate the integral $\int_0^\infty \frac{x^{a-1}}{1+bx^a} e^{-x} dx$

Why use a particular regularization for $\int_0^\infty \mathrm{d}x\,e^{i p x}$?

Integration of progressively measurable process

$\int\frac{dx}{x-3y}$ when $y(x-y)^2=x$?

Frullani integral $\int_0^\infty \frac{\text{csch}(x)-\frac1x}{x} {\rm d}x$

Show that it is possible that the limit $\displaystyle{\lim_{x \rightarrow +\infty} f'(x)} $ does not exist.

Compute this integral

Integrate $\int \cos^4 x\,\mathrm dx.$

Help computing an integral for Green's function of a discrete Laplacian on a square lattice

Computation of $\int_{-\infty}^{\infty} \left(\frac{\sin x}{x}\right)^2e^{itx}dx$ for real $t$ [duplicate]

How to evaluate $\int \frac { \sin x+\cos x }{ \sin^4 x+\cos^4x}\, dx$?

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^2=\frac{\pi^2}{24}$

Limit with integral or is this function continuous?

Interchanging Summation and Integral

Integrating :$\int\sqrt{\sin x} \cos^{\frac{3}{2}}x dx$

Prove range for derivative given $3$ definite integrals

Help on an integral.

Definitions of Lebesgue integral

Integration validity of $\int\frac{1}{\sqrt{a^2 + x^2}}\,dx$

Example of distinctions between multiple integral and iterated integrals.