Question

timed problem
score: 9/10
$int x^{5} dx$
answer
$\frac{1}{6}x^{6}+c$
$5x^{4}+c$
$5x^{6}+c$
$6x^{6}+c$
watch video
stop

Explanation:

Step1: Apply power rule for integration

The power rule for indefinite integrals is $\int x^n dx = \frac{x^{n+1}}{n+1} + C$ where $n
eq -1$. For $n=5$:
$\int x^5 dx = \frac{x^{5+1}}{5+1} + C$

Step2: Simplify the expression

Calculate the exponent and denominator:
$\frac{x^{6}}{6} + C$

Answer:

$\frac{1}{6}x^6 + C$