Interactive math exercises — integration basics semester 1

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Integration Basics

An interactive book that builds the foundations of integration step by step: from the area under a curve to the rules and properties of integrals and evaluating definite integrals — with graded exercises, hints and detailed solutions.

∫
Integration: area under the curve
▤
Area as a collection of slices
▦
What area means: shape vs. effect
Σ
Why do we need integration?
F(b)
A function and its integral function
±
The sign of the integral
✓
Summary of integration concepts
k
Integrating a constant
+C
The constant of integration C
−C
Why C vanishes in definite integrals
xⁿ
The power rule for integrals
ln
The logarithmic rule
log
What is a logarithm?
eˣ
Integrating exponentials
c∫
Properties of integrals
[F]
Evaluating definite integrals