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Solution assignment 05 Integration of standard functions

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Assignment 5

Solve:

\displaystyle\int{(x+x^2+x^3)}dx

Solution

This is a sum of power functions which may be integrated term by term.

\displaystyle\int{(x+x^2+x^3)}dx=\displaystyle\int{x}dx+\displaystyle\int{x^2}dx+\displaystyle\int{x^3}dx=

=\displaystyle\frac{1}{2}x^2+\displaystyle\frac{1}{3}x^3+\displaystyle\frac{1}{4}x^4+C

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