Skill — Integrare.
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44·45·46·47
Linked atoms
47 linked atoms.
44 Integrale
- Antiderivative through a point
- Area between a parabola and a line
- Area between two curves
- Centre of mass of the cone
- Computing the area with the antiderivative
- Even and odd functions
- Exponential improper integral
- Improper integral with a root
- Improper integrals
- Integral by substitution
- Integral using the antiderivative
- Integration by parts
- Integration by parts of the logarithm
- Integration by substitution
- Integration of algebraic fractions
- Irrational and trigonometric substitutions
- Irrational integrals
- Partial fractions
- Revolution about the y axis with shells
- Table of elementary antiderivatives
- The antiderivative, inverse of the derivative
- The area under a curve
- The definite integral as a sum of differentials
- Volume of revolution via Cavalieri
- Volume of the cone
- Volume of the pyramid
- Volume of the sphere
- Volume of the sphere of radius 5
- Volumes of revolution - the cylindrical shell method
- Volumes of revolution - the disc method
45 Teoremi del calcolo
- Proof of the fundamental theorem
- Proof of the integral mean value theorem
- The fundamental theorem of integral calculus
- The integral mean
- The integral mean value theorem
46 Equazioni differenziali
- Barometric formula
- Cooling of coffee
- Exponential growth
- Method of separation of variables
- Problem — Fall with air resistance
- Radioactive decay
- Solution formula for first-order linear equations
- Worked example y’ − y = eˣ
- Worked exercise — y’ = −2xy (the Gaussian)
- Worked exercise — y’ = 3y with y(0)=2
- Worked exercise — y’ − y = eˣ