New posts in definite-integrals

Evaluate $\int _{ 0 }^{ 1 }{ \left( { x }^{ 5 }+{ x }^{ 4 }+{ x }^{ 2 } \right) \sqrt { 4{ x }^{ 3 }+5{ x }^{ 2 }+10 } \; dx } $

calculus integration definite-integrals

Compute integral of general form $ \int_0^\infty \left(\frac{x}{\sinh x}\right)^n d x $

integration definite-integrals hyperbolic-functions

Solve this Integral Without a Calculator

calculus definite-integrals exponential-function

Definite integration $\int _{-\infty}^\infty \frac{\tan^{-1}(2x-2)}{\cosh(\pi x)}dx$

calculus integration definite-integrals

Finding $\int_0^{\frac{\pi}{2}} \frac{x}{\sin x} dx $

calculus integration definite-integrals catalans-constant

Integral $\int_{-\infty}^{\infty} \frac{\sin^2x}{x^2} e^{ix}dx$

calculus integration definite-integrals

Is it necessary to write limits for a substituted integral?

definite-integrals substitution bounds-of-integration

Evalulate $\int_0^\infty \int_0^\infty \int_0^\infty e^{-(xy+yz+zx)}\ dx\ dy\ dz$

integration multivariable-calculus definite-integrals

Where is my argument that $\int_{-1}^{1} \sqrt{1-x^2}dx=0$ wrong?

calculus integration definite-integrals

How to evaluate $\int_0^1 \frac{1-x}{\ln x}(x+x^2+x^{2^2}+x^{2^3}+x^{2^4}+\ldots) \, dx$?

calculus sequences-and-series definite-integrals

Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$

calculus integration definite-integrals logarithms improper-integrals

Closed form for $f(x)=\ _3F_2\left(\tfrac12,\tfrac12,\tfrac12;\tfrac32,\tfrac32;x\right)$

integration definite-integrals special-functions hypergeometric-function

How to evaluate $ \int_{0}^{\infty} xe^{-ix(a-b)} d x $

complex-analysis definite-integrals fourier-transform

Compute $\int_{-\infty}^{+\infty}(1+\frac{1}{v^2})\exp(-\frac{u^2}{2\sigma_1^2\sigma_2^2}(\sigma_2v+\frac{\sigma_1}{v})^2)\,dv$

integration definite-integrals improper-integrals integral-transforms

Integral of $\ln(x)\operatorname{sech}(x)$

integration definite-integrals improper-integrals gamma-function hyperbolic-functions

Evaluate $ \int_{0}^{\pi/4}\left(\cos 2x \right)^{11/2}\cdot \cos x\;dx $

calculus integration definite-integrals

Area under the curve - Integrals (Antiderivatives)

calculus integration definite-integrals

How to integrate $\int_{0}^{\pi} \frac{1}{a-b \cos(x)} dx$ with calculus tools?

calculus integration definite-integrals

How to find integral $\int e^{-2x} /x\,dx\,$?

probability integration definite-integrals covariance

Integral $\int_0^{2π} e^{e^{ix}} dx$

calculus integration definite-integrals