Integrate - Qurak function reference

Symbolic integration.

Qurak evaluates indefinite and definite integrals symbolically. For integrals that don't have a closed form, use `NIntegrate` for a numeric answer instead of waiting for `Integrate` to give up.

Dapat diperiksa secara independen: jawaban untuk fungsi ini diturunkan ulang melalui jalur lain lalu dibandingkan - workbench dan alat verify melakukannya otomatis, sehingga jawaban yang salah tertangkap alih-alih dipercaya. Riwayat →

Bentuk

Integrate[f, x]

Integrate[f, {x, xmin, xmax}]

Integrate[f, {x, xmin, xmax}, {y, ymin, ymax}, …]

Integrate[f, {x, y, …}∈ reg]

Contoh terverifikasiIntegrate[x, x] → x^2/2 Integrate[x^2, {x, 0, 1}] → 1/3 Integrate[Sin[x], {x, 0, Pi}] → 2 Integrate[Log[Sin[x]], {x, 0, Pi/2}] → -1/2*(Pi*Log[2])Integrate[Log[x], x] → x*(-1 + Log[x])ToString[Integrate[x Log[x], x], InputForm] → (x^2*(-1 + 2*Log[x]))/4 ToString[Integrate[Log[2 x], x], InputForm] → -x + x*Log[2*x]ToString[Integrate[E^(-x), x], InputForm] → -E^(-x)Opsi

Assumptions — default $Assumptions
GenerateConditions — default Automatic
GeneratedParameters — default None
PrincipalValue — default False

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Dipakai di

Topik

Analytic Number Theory - Operations
Calculus - Vector Calculus»
Computational Geometry - Geometric Transformations»
Functions Of Complex Variables - Integration
Generalized Functions - General
Geometric Computation - Solvers over Regions »

Terkait

NIntegrate AsymptoticIntegrate LineIntegrate SurfaceIntegrate ContourIntegrate Asymptotic DSolve Sum LaplaceTransform FourierTransform Convolve D