603integratinglinearpowers


 * Examples **

Integration of (ax + b) n where n **¹** –1

math \int {(ax+b)^n}\, dx = \dfrac{(ax+b)^{n+1}}{a(n+1)} + c \qquad. math


 * Example 1 **

math \\ \int 7(5x-2)^3 \; dx \qquad. \\ . \\ . \qquad \qquad = 7 \int (5x-2)^3 \; dx \qquad. \\ . \\ . \qquad \qquad = \dfrac{7(5x-2)^4}{5\times 4} + c \qquad. \\ . \\ . \qquad \qquad = \frac{7}{20}(5x-2)^4 + c math

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