Question

1. Calcule a integral indefinida ⬚⬚(5x³+5x²-5)dx
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Answer 1

$\int (5x^3+5x^2-5)dx\\\int 5x^3 dx +\int5x^2 dx - \int5 dx\\5 \int x^3 dx + 5 \int x^2dx-5\int dx\\5x^{3+1}/(3+1) + 5x^{2+1}/(2+1) -5 (x) + c\\5x^4/4 + 5x^3/3 - 5x + c$

Espero ter Ajudado ;)

Answer 2

Explicação passo-a-passo:

Cálculo da integral:

$\mathsf{\int~\Big(5x^3~+~5x^2~-~5\Big)~dx }$

$\mathsf{\int~5x^3~dx~+~\int~5x^2~dx~-~\int~5~dx }$

$\mathsf{5\int~x^3~dx~+~5\int~x^2~dx~-~5\int~dx }$

$\mathsf{\dfrac{x^{n+1}}{n+1} }$

$\mathsf{5.\dfrac{x^{3+1}}{3+1}+5.\dfrac{x^{2+1}}{2+1}-5x }$

$\boxed{\mathaf{\dfrac{5x^4}{4}+\dfrac{5x^3}{3}-5x+c }}}}$

Espero ter ajudado bastante!)