Lyons Pearson
05/01/2024 · High School
\( \int _{}^{}x3 d x=\frac{x3+1}{3+1} \)
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Step-by-step Solution
Calculate the integral \( \int x^3 dx \).
Evaluate the integral by following steps:
- step0: Evaluate using formulas and rules:
\(\int x^{3} dx\)
- step1: Evaluate the integral:
\(\frac{x^{4}}{4}\)
- step2: Simplify:
\(\frac{1}{4}x^{4}\)
- step3: Add the constant of integral C:
\(\frac{1}{4}x^{4} + C, C \in \mathbb{R}\)
La integral de \(x^3\) con respecto a \(x\) es \(\frac{1}{4}x^{4} + C\), donde \(C\) es una constante arbitraria.
Quick Answer
La integral de \(x^3\) es \(\frac{1}{4}x^{4} + C\).
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