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Integration

Enter the world of integration with the indefinite and definite integral, and learn the methods to solve them, such as by parts or by substitution of the variable. The level also increases with the integrals of two variables, introducing integrals on curves and surfaces, and the theorems of Green, Gauss and Stokes. And let's not forget the two basic applications of integrals, the calculation of areas and volumes.

• Almost direct integrals
• Areas delimited by two functions
• Areas of enclosures in the plane
• Calculation of surface areas in space
• Calculation of volumes by direct integration
• Calculations of areas in the plane using Green's theorem
• Changes of variables in double integrals
• Defined areas under a function
• Definite integral and Barrow's rule
• Direct integrals for the polynomials
• Fubini's theorem
• Improper integrals
• Indefinite integral
• Integral along a curve
• Integral on a surface
• Integrals in the regions of space and in dimension n
• Integrals of functions defined by parts
• Integrals of simple fractions
• Integrals with changes of variable
• Integration by parts
• Logarithmic, exponential and trigonometric direct integrals
• Non rectangular regions of integration
• Table for direct integrals
• Theorem of Green, theorem of Gauss and theorem of Stokes
• Volumes calculation using Gauss' theorem