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Integral kalkulyator. Aniq va noaniq integrallarning yechimi (antiderivativlar)

Kalkulyator funktsiyalarni usullar yordamida birlashtiradi: almashtirishlar, ratsional funktsiyalar va kasrlar, aniqlanmagan koeffitsientlar, faktorizatsiya, chiziqli kasr irratsionalliklari, Ostrogradskiy, qismlar bo'yicha integrallash, Eyler almashtirish, differentsial binom, modul bilan integrasiya, integral funktsiyalar, kuch, trigonometrik, giperbolik o'zgartirishlar va guruhli o'zgartirishlar. Aniq integrallarni yechish uchun Nyuton-Leybnits formulasi va funktsiyaning uzilish nuqtalarida chegaralarni topish qo'llaniladi
Tomonidan integratsiya
Yuqori chegara
Pastki chegara
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Kontent yuklanmoqda

Kirish kabi funksiyalar uchun turli sinonimlarni taniydi asin, arsin, arcsin, sin^-1

Ko'paytirish belgisi va qavslar qo'shimcha ravishda joylashtiriladi - yozing 2sinx o'xshash 2*sin(x)

Matematik funktsiyalar va konstantalar ro'yxati:

ln(x)tabiiy logarifm

sin(x)sinus

cos(x)kosinus

tg(x)tangens

ctg(x)kotangent

arcsin(x)arksin

arccos(x)arkkosin

arctg(x)arktangent

arcctg(x)arkkotangent

sh(x)giperbolik sinus

ch(x)giperbolik kosinus

th(x)giperbolik tangens

cth(x)giperbolik kotangent

sch(x)giperbolik sekant

csch(x)giperbolik kosekant

arsh(x)teskari giperbolik sinus

arch(x)teskari giperbolik kosinus

arth(x)teskari giperbolik tangens

arcth(x)teskari giperbolik kotangent

sec(x)sekant

cosec(x)kosekant

arcsec(x)arksekant

arccsc(x)arccosecant

arsch(x)teskari giperbolik sekant

arcsch(x)teskari giperbolik kosekant

|x|, abs(x)modul

sqrt(x), root(x)ildiz

exp(x)x darajasining ko'rsatkichi

conj(z)\(\overline{z}\)

a+b — \(a+b\)

a-b — \(a-b\)

a*b — \(a\cdot b\)

a/b — \(\dfrac{a}{b}\)

a^b, pow(a,b) — \(a^b\)

sqrt7(x) — \(\sqrt[7]{x}\)

sqrt(n,x) — \(\sqrt[n]{x}\)

lg(x) — \(\log_{10}\left(x\right)\)

log3(x) — \(\log_3\left(x\right)\)

log(a,x) — \(\log_a\left(x\right)\)

ln^2(x), ln(x)^2 — \(\ln^2\left(x\right)\)

y''', y'3 — \(y'''\)

d^2y/dx^2, d2y/dx2 — \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}\)

lambda — \(\lambda\)

pi — \(\pi\)
alpha — \(\alpha\)
beta — \(\beta\)
sigma — \(\sigma\)
gamma — \(\gamma\)
nu — \(\nu\)
mu — \(\mu\)
phi — \(\phi\)
psi — \(\psi\)
tau — \(\tau\)
eta — \(\eta\)
rho — \(\rho\)
a123 — \(a_{123}\)
x_n — \(x_{n}\)
mu11 — \(\mu_{11}\)
<= — \(\leq\)
>= — \(\geq\)
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C =
x=0, y=0
Grafiklar
\(\displaystyle\int f(x)\,\mathrm{d}\,x=F(x)\)
Qiymatlar
\(x =\)
\(f(x) =\)
\(F(x) =\)
Masshtablash
1:1
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