Integral Calculus
"All The Mathematical Methods I Learned In My University Math Degree Became Obsolete In My Lifetime" - Keith Devlin
Anti
Derivative: Entering a function f_d, you can see the graph
of A anti-derivative F(x). You can also adjust +C for different
Anti-Derivatives. You can pick a point in the plane to see that a
unique anti-derivative passes through it, and also visualize tangent
lines if you choose. (https://www.desmos.com/calculator/aqhxferbjg)
Anti-Derivatives Symbolically: If expressable as simple functions, we may find the anti derivative symbolically. The following will find A anti-derivative of f(x), you know what to do from there.
Riemann Sum Visualizer: You can change f(x) to again reflect a variety of functions. Sliders labeled a and b control the left and right end points of integration. You can select the number of rectangles, and the approximation method, and see how it compares to the actual definite integral! (Link https://www.desmos.com/calculator/4wcjvnuwda)
Fundamental Theorem of Calculus: You can change f(x) to again reflect a variety of functions. Adjust k, and see why F'(k)=f(k). (Link https://www.desmos.com/calculator/buhsrmavf6)
Arc Length: Enter a function f(x), start and end points a and b, as well as N, the number of segements used to estimate the length. (https://www.desmos.com/calculator/vafu30gt48)
Anti-Derivatives Symbolically: If expressable as simple functions, we may find the anti derivative symbolically. The following will find A anti-derivative of f(x), you know what to do from there.
Riemann Sum Visualizer: You can change f(x) to again reflect a variety of functions. Sliders labeled a and b control the left and right end points of integration. You can select the number of rectangles, and the approximation method, and see how it compares to the actual definite integral! (Link https://www.desmos.com/calculator/4wcjvnuwda)
Fundamental Theorem of Calculus: You can change f(x) to again reflect a variety of functions. Adjust k, and see why F'(k)=f(k). (Link https://www.desmos.com/calculator/buhsrmavf6)
Arc Length: Enter a function f(x), start and end points a and b, as well as N, the number of segements used to estimate the length. (https://www.desmos.com/calculator/vafu30gt48)