Integrala primitiva prin metoda substitutiei

bla_ndin_ka Lun Sept 24, 2012 11:04 pm

Metoda substitutiei:
1)integrala (12x-3)^41dx
2)integrala x(2x+1)^35dx

**Admin** Mar Sept 25, 2012 1:07 am

1)integrala (12x-3)^41dx

$\begin{array}{l} I = {\int {\left( {12x - 3} \right)} ^{41}}dx \to \left\{ \begin{array}{l} u = 12x - 3\\ du = 12dx \end{array} \right. \Rightarrow I = \frac{1}{{12}}\int {{u^{41}}du} = \frac{1}{{12}} \times \frac{{{u^{42}}}}{{42}} + C\\ I = \frac{{{u^{42}}}}{{504}} + C = \frac{1}{{504}}{\left( {12x - 3} \right)^{42}} + C \end{array}$
Idem problema b.

Integrala primitiva prin metoda substitutiei

Integrala primitiva prin metoda substitutiei

Re: Integrala primitiva prin metoda substitutiei