Questions: Cooper Section 9.3 #5 What functions have derivative equal to x^10. Use C as your constant of integration.

To find the function whose derivative is \( x^{10} \), we need to compute the antiderivative of \( x^{10} \). The antiderivative of \( x^n \) is given by: \[ \int x^n \, dx = \frac{x^{n+1}}{n+1} + C, \] where \( C \) is the constant of integration.

For \( n = 10 \), the antiderivative becomes: \[ \int x^{10} \, dx = \frac{x^{10+1}}{10+1} + C = \frac{x^{11}}{11} + C. \]

The function whose derivative is \( x^{10} \) is: \[ \boxed{\frac{x^{11}}{11} + C}. \]