what is the antiderivative of ³√x dx​

Sagot :

Answer:

3dx√x

Step-by-step explanation:

The method of integration by substitution may be used to easily compute complex integrals. Let us examine an integral of the form

ab f(g(x)) g'(x) dx

Let us make the substitution u = g(x), hence du/dx = g'(x) and du = g'(x) dx

With the above substitution, the given integral is given by

ab f(g(x)) g'(x) dx = g(a)g(b) f(u) du

In what follows C is a constant of integration which is added in the final result.

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