This calculator can compute the derivative, definite/indefinite integral of algebraic expressions.
Show Examples
Differentiation
$$\frac{d}{dx}\Big(\frac{x+3}{x-2}\Big)$$
(x+3)/(x-2)
Specify the variable of differentiation:
$$\frac{d}{\color{red}{dt}}u \cdot t \cdot \cos x$$
u*t*cos(x),t
Evaluate the value of derivative:
$$\frac{d}{dx}\ln (x)\Biggr|_{x=3}$$
ln(x),x,3
Indefinite Integration
$$\int (\sqrt{t} + e^{2t})dt$$
sqrt(t)+e^(2t)
Specify the variable of integration:
$$\int (u+at)\color{red}{dt}$$
u+at,t
Integration by substitution:
$$\begin{align*}&\text{Let }u = x^2+1\\[2pt]
&\int 2x \sqrt{x^2+1}\ dx\\[2pt]
=&\int \sqrt{u}\ du
\end{align*}$$
2x sqrt(x^2+1)
x^2+1
Definite Integration
$$\int_{0}^{\frac{\pi}{2}}\sin(x) dx$$
sin(x),0,pi/2
$$\int_{2}^{\infty}\frac{1}{x^2}dx$$
1/x^2,2,oo
Supported Functions
ln(), log(), exp(), sin(), cos(), tan(), sec(), csc(), cot(), sqrt()
Computing…
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標籤: Calculus, Differentiation, Integration, 微分, 微積分, 積分
分類: 計數機應用及歷屆試題
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