Question

integral(5x-3)^3dx solucao com integral

Answer 1

$\int\( (5x-3)^{3} dx \\ \\ u=5x-3\\ du=5dx\\ dx= \frac{du}{5} \\ \\ \int\( (5x-3)^{3} dx =\int\ u^{3}.\frac{du}{5} \\ \\ = \frac{1}{5}\int\(u^{3}du \\ \\ = \frac{1}{5}. \frac{u^{4}}{4}+C\\ \\ = \frac{u^{4}}{20}+C\\ \\ = \frac{ (5x-3)^{4}}{20}+C$

Answer 2

Resposta:

∫ (5x-3)³ dx

por substituição ==>u=5x-3 ==>du=5dx

∫ (u)³ du/5  =[u⁴/4] *(1/5) + constante=u⁴/20 + constante

Como u=5x-3

∫ (5x-3)³ dx  =(5x-3)⁴/20 + constante