Integration as reverse differentiation

The Integration Constant

Anti-Derivative of xⁿ, n∈ℕ

Integrals of sums and scalar products

Boundary Conditions

Anti-Derivative of xⁿ, n∈ℚ

Anti-Derivative of sin and cos

Anti-Derivative of e^x

Anti-Derivative of 1/x

Integrating f(ax+b)

Integration by substitution

Problem

Problem

Riemann Sum

Definite Integrals

Substitution and Integral Bounds

##### Connection between anti-derivatives and area

Area under a curve

Problem

Area between curve and x-axis

Area between curves

Problem

Definite Integral Rules

Problem

Displacement vs Distance

Displacement, velocity and acceleration

Speed

Displacement from Velocity

Distance from Velocity

Problem

Anti-Derivative of aˣ

Derivatives of reciprocal trig functions

Derivatives of inverse trig functions

Anti-Derivatives leading to arcsin or arctan

Partial fractions

Integration by parts

Repeated integration by parts

Cyclical integration by parts

Area between curve and y-axis

Volume of revolution [graph: No alt text provided

Volume of revolution about x-axis

Volume of revolution about y-axis