Monday, December 12, 2011

Indefinite integrals.?

The indefinite integral of x^n dx is just (1 / (n + 1))*x^(n + 1) + C, where C is a generic constant. For example, the integral of x^3 dx is (1/4)*x^4 + C. Integrals can be linearally combined. So, for example, the integral of (5x^2 + 2x) dx would be 5*(1/3)*x^3 + 2*(1/2)*x^2 + C = (5/3)*x^3 + x^2 + C. That should enable you to solve a), b), and c) easily. For d), perform the multiplication before you integrate.

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