u-Substitution Step-by-Step
Step-by-step walkthrough of u-substitution for 6 integral examples. Color-coded steps: identify u, find du, match dx, substitute, integrate, back-substitute. Covers standard patterns including definite integrals with bound conversion.
Accumulation Function Visualizer
Dual-panel visualization of f(t) and F(x) = ∫ₐˣ f(t) dt. Shows signed area shading (green positive, red negative) on the integrand graph alongside the accumulation function. Demonstrates FTC Part 1: F′(x) = f(x). Adjustable upper limit x with 4 function examples.
Trapezoidal & Riemann Sum Approximation
Interactive numerical integration comparing Left, Right, Midpoint, and Trapezoidal rules. 4 functions with adjustable number of subintervals (n=1 to 50). Shows exact value, approximation, absolute and percentage error. Visualizes rectangles/trapezoids overlaid on curve.