What is the calculator's exact syntax for integration and derivatives?

I found it can integrate: `int(2x^2)`

But maybe it can do even more? How do I set boundary conditions, for example?

It seems this feature is completely missing from the (very sparse!!!) documentation?

Noseshine
Jan 27, 2015

#1**+5 **

Indefinite integral: int(f(x)) e.g. int(x^2)

Definite integral: int(f(x),x=a..b) e.g. int(x^2,x=0..1)

Differentiation; diff(f(x)) e.g. diff(x^2)

(Thanks to Chris who just initiated my search for these!)

.

Alan
Jan 27, 2015

#2**0 **

Thanks, Alan......

I should add that Alan is our resident "Calculator Guru".....if it can be done....he'll usually discover it....!!!

CPhill
Jan 27, 2015

#3**+5 **

Best Answer

Yes, that is so true, thanks Alan :)

I have just added this thread to our reference material Sticky Topic

Melody
Jan 27, 2015

#4**0 **

**Warning!!**

Beware of definite integration using trigonometric functions. web2.0calc insists on treating the arguments to trig functions in degrees. This leads to problems for definite integrals.

For example

$$\int_0^1{cos(x)}dx=0.841$$

However, webcalc gives:

$$\int_{{\mathtt{0}}}^{{\mathtt{1}}}{\left(\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{x}}\right)}\right)}{d{\mathtt{x}}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{1}}^\circ\right)}$$

and

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{1}}^\circ\right)} = {\mathtt{0.017\: \!452\: \!406\: \!437}}$$

.

Alan
Jan 27, 2015