General Power Formula Of Integration
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FAQ
The general power rule is a special case of the chain rule, used to work power functions of the form y=u(x)n. The general power rule states that if y=u(x)n, then dy/dx=nu(x)n-1u'(x).
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.
If you can write it with an exponents, you probably can apply the power rule. To apply the rule, simply take the exponent and add 1. Then, divide by that same value. Finally, don't forget to add the constant C.
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.
The general power rule is a special case of the chain rule. It is useful when finding the derivative of a function that is raised to the nth power. 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.
