int x^ndx=(1)/(n+1)x^n+1+c Example: int x^5dx=(1)/(6)x^6+c

The correct answer is:<br /><br />$\int x^{n}dx=\frac {1}{n+1}x^{n+1}+c$<br /><br />This is the formula for the indefinite integral of a power function, where $n$ is a constant. The result is obtained by applying the power rule for integration, which states that the integral of $x^n$ with respect to $x$ is $\frac{1}{n+1}x^{n+1}$ plus a constant of integration $c$. In the example given, $\int x^{5}dx=\frac {1}{6}x^{6}+c$, the power rule is applied with $n=5$, resulting in the answer $\frac{1}{6}x^{6}+c$.