timed problem score: 7/10 current time: 94.8 ∫x^4 dx answer 1/5x^5 + c 4x^3 + c 1/3x^3 + c 4x^5 + c keyboard…
timed problem score: 7/10 current time: 94.8 ∫x^4 dx answer 1/5x^5 + c 4x^3 + c 1/3x^3 + c 4x^5 + c keyboard shortcuts
Answer
Answer:
A. $\frac{1}{5}x^{5}+C$
Explanation:
Step1: Recall power - rule for integration
The power - rule for integration is $\int x^{n}dx=\frac{x^{n + 1}}{n+1}+C$, where $n\neq - 1$ and $C$ is the constant of integration.
Step2: Identify the value of n
In the integral $\int x^{4}dx$, we have $n = 4$.
Step3: Apply the power - rule
Substitute $n = 4$ into the power - rule formula: $\frac{x^{4+1}}{4 + 1}+C=\frac{1}{5}x^{5}+C$.