General Power Formula Calculator
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FAQ
The power rule for integrals allows us to find the indefinite (and later the definite) integrals of a variety of functions like polynomials, functions involving roots, and even some rational functions. If you can write it with an exponents, you probably can apply the power rule.
The general power rule states that this derivative is n times the function raised to the (n-1)th power times the derivative of the function.
The general power rule of integration is another important formula of integration, and this rule needs th derivative of the given function within the problem. The general power rule of integration is of the form. 222bf(x)nf2032(x)dx=f(x)n+1n+1+c.
Definite Integrals on the Home Screen The TI-83/84 computes a definite integral using the fnint( ) function. To access the function, press the MATH button and then scroll up or down to find 9:fnint( . , which evaluates to 22122(cos 03c0/4 2212 cos 0) = 22122(221a2/2 2212 1) = 22212221a2, approximately 0.5858.
Integration: The General Power Formula. (We met this substitution formula in an earlier chapter: General Power Formula for Integration.) Our options are to either choose u = sin x, u = sin1/3 x or u = cos x.
