Welcome to the online definite integrator from GraphPower!
The online integrator starts by showing four randomly chosen functions. Each one looks something like this :
If you want to edit the function or its bounds (or its name), click the pencil icon : This will open a window allowing you to edit the function. The window looks like this :
Type in the formula for your function into the box labelled Formula for y=y(x). Type in the bounds of the integral into the boxes labelled Minimum x value and Maximum x value, and click Ok.
If your formula has an error, you’ll be given a chance to edit it again.
This online integrator knows about these constants, operators and elementary functions :
- e = 2.718281828…, the base of the natural logarithm
- pi = 3.14159265…, the ratio of the circumference of a circle to its diameter
- phi = 1.618033989…, the golden ratio, equal to (sqrt(5)+1)/2
- + (plus), – (minus), * (times), / (divide) and ^ (power)
- sqrt(), the square root function
- abs(), the absolute function
- exp() and ln()
- trigonometic functions sin(), cos(), tan(), cosec(), sec() and cot()
- inverse trigonometric functions asin(), acos(), atan(), acosec(), asec() and acot()
- hyperbolic trigonometric functions sinh(), cosh(), tanh(), sech(), cosech() and coth(), and their inverses asinh(), acosh(), atanh(), asech(), acoseh() and acoth()
When you have typed in your function, click the integrate button : A window will pop up summarising your function, its derivative and its integral.
If you want to find the arclength of a curve, you will find the Online Arclength Finder very useful!