[Offro] Calcolatrici passo passo

[britva]

Calcolatrici:
1) Integrali indefiniti e definiti \(\displaystyle \int{\dfrac{x}{\sqrt[4]{\left(a-x\right)\,x^{3}}}}{\;\mathrm{d}x} \quad \int\limits_{\scriptsize 0}^{\scriptsize x}{\ln\left(\sqrt{x}\right)}{\;\mathrm{d}x}\)

2) Equazioni differenziali ordinarie \(\displaystyle y''-5\,y'+4\,y=4\,x^{2}\,e^{2\,x} \)

3) Derivati \(\displaystyle \left(\sin\left(a\,x+b\right)+\ln\left(\cos\left(x\right)\right)\right)'_{x} \)

4) Matrici (gli elementi vengono evidenziati quando si passa il mouse) \(\displaystyle \left(\mathrm{\begin{matrix}\cos\left(x\right)&-1\\1&\sin\left(x\right)\end{matrix}}\right)\cdot \left(\mathrm{\begin{matrix}b_{11}&b_{12}\\b_{21}&b_{22}\end{matrix}}\right)^{\mathrm{T}} \)

\(\displaystyle \color{blue}{\rightarrow} \)https://mathdf.com/it/

Esempi:
1) \(\displaystyle \int{\dfrac{x^{2}}{\left(x-1\right)\,\left(x+1\right)\,\left(x^{3}+1\right)}}{\;\mathrm{d}x}=-\dfrac{\ln\left(x^{2}-x+1\right)}{6}+\dfrac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{3\,\sqrt{3}}+\dfrac{\ln\left(x+1\right)}{12}+\dfrac{1}{6\,\left(x+1\right)}+\dfrac{\ln\left(x-1\right)}{4}+C \)

https://mathdf.com/int/it/?expr=x%5E2%2F((x%2B1)(x-1)(x%5E3%2B1))&arg=x

2) \(\displaystyle x\,y'=\cos^{2}\left(y\right)\,\left(\tan\left(y\right)+x^{2}\right)\;\rightarrow\;y=\arctan\left(x^{2}+C\,x\right) \)

https://mathdf.com/dif/it/?expr=x*y'%3D(x%5E2%2Btan(y))*cos(y)%5E2&func=y&arg=x

3) \(\displaystyle \left(x^{\sin\left(x\right)}\right)'_{x}=x^{\sin\left(x\right)-1}\,\sin\left(x\right)+x^{\sin\left(x\right)}\,\cos\left(x\right)\,\ln\left(x\right) \)

https://mathdf.com/der/it/?expr=x%5Esin(x)&arg=x

4)
\(\displaystyle \left|\begin{matrix}\sin\left(x\right)&1&x\\\cos\left(x\right)&2&x^{2}\\\ln\left(x\right)&3&x^{3}\end{matrix}\right|=2\,x^{3}\,\sin\left(x\right)-3\,x^{2}\,\sin\left(x\right)+x^{2}\,\ln\left(x\right)-2\,x\,\ln\left(x\right)-x^{3}\,\cos\left(x\right)+3\,x\,\cos\left(x\right) \)

https://mathdf.com/mat/it/?expr=(det(A))&mats=Asin(x)~1~x!cos(x)~2~x%5E2!log(x)~3~x%5E3%5D

Supporta l'input:
\(\displaystyle \frac{1}{a_{123}+l_{n}+\beta_{11}+\sqrt{x}+\tau_{z}}=0 \)

[britva]

B.P. Demidovich. Raccolta di problemi ed esercizi di analisi matematica. Integrali indefiniti. Soluzioni. Generato con una calcolatrice:

\(\displaystyle\text{Google Drive} \)

[britva]

Aggiunta una nuova calcolatrice per le espressioni numeriche \(\displaystyle \left(\sqrt{2}+2+\cos\left(\dfrac{\pi}{2}\right)\right)\cdot 3=\left[\text{..Passi..}\right]=10.24264068711928\)

https://mathdf.com/calc/it/