Area Between Two Curves Calculator Program
* Area between curves This is a nifty little program to enhance the computational ability of your TI83 family calculator. I'm not sure about you, but my calculus teacher told me there was no way for my calculator to calculate the area between curves at the touch of a button. Area Between Two Curves. Graphs two functions with positive and negative areas between the graphs, computing total area using antiderivatives.
The calculator will find the area of the surface of revolution (around the given axis) of the explicit, polar or parametric curve on the given interval, with steps shown.
- In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`.
- In general, you can skip parentheses, but be very careful: e^3x is `e^3x`, and e^(3x) is `e^(3x)`.
- Also, be careful when you write fractions: 1/x^2 ln(x) is `1/x^2 ln(x)`, and 1/(x^2 ln(x)) is `1/(x^2 ln(x))`.
- If you skip parentheses or a multiplication sign, type at least a whitespace, i.e. write sin x (or even better sin(x)) instead of sinx.
- Sometimes I see expressions like tan^2xsec^3x: this will be parsed as `tan^(2*3)(x sec(x))`. To get `tan^2(x)sec^3(x)`, use parentheses: tan^2(x)sec^3(x).
- Similarly, tanxsec^3x will be parsed as `tan(xsec^3(x))`. To get `tan(x)sec^3(x)`, use parentheses: tan(x)sec^3(x).
- From the table below, you can notice that sech is not supported, but you can still enter it using the identity `sech(x)=1/cosh(x)`.
- If you get an error, double-check your expression, add parentheses and multiplication signs where needed, and consult the table below.
- All suggestions and improvements are welcome. Please leave them in comments.
| Type | Get |
| Constants | |
| e | e |
| pi | `pi` |
| i | i (imaginary unit) |
| Operations | |
| a+b | a+b |
| a-b | a-b |
| a*b | `a*b` |
| a^b, a**b | `a^b` |
| sqrt(x), x^(1/2) | `sqrt(x)` |
| cbrt(x), x^(1/3) | `root(3)(x)` |
| root(x,n), x^(1/n) | `root(n)(x)` |
| x^(a/b) | `x^(a/b)` |
| abs(x) | ` x ` |
| Functions | |
| e^x | `e^x` |
| ln(x), log(x) | ln(x) |
| ln(x)/ln(a) | `log_a(x)` |
| Trigonometric Functions | |
| sin(x) | sin(x) |
| cos(x) | cos(x) |
| tan(x) | tan(x), tg(x) |
| cot(x) | cot(x), ctg(x) |
| sec(x) | sec(x) |
| csc(x) | csc(x), cosec(x) |
| Inverse Trigonometric Functions | |
| asin(x), arcsin(x), sin^-1(x) | asin(x) |
| acos(x), arccos(x), cos^-1(x) | acos(x) |
| atan(x), arctan(x), tan^-1(x) | atan(x) |
| acot(x), arccot(x), cot^-1(x) | acot(x) |
| asec(x), arcsec(x), sec^-1(x) | asec(x) |
| acsc(x), arccsc(x), csc^-1(x) | acsc(x) |
| Hyperbolic Functions | |
| sinh(x) | sinh(x) |
| cosh(x) | cosh(x) |
| tanh(x) | tanh(x) |
| coth(x) | coth(x) |
| 1/cosh(x) | sech(x) |
| 1/sinh(x) | csch(x) |
| Inverse Hyperbolic Functions | |
| asinh(x), arcsinh(x), sinh^-1(x) | asinh(x) |
| acosh(x), arccosh(x), cosh^-1(x) | acosh(x) |
| atanh(x), arctanh(x), tanh^-1(x) | atanh(x) |
| acoth(x), arccoth(x), cot^-1(x) | acoth(x) |
| acosh(1/x) | asech(x) |
| asinh(1/x) | acsch(x) |
Area Between 2 Curves Calculator
Getting Started:
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