The following is Alex's approximation of an integration by using a right Riemann sum:
\[\frac{9}{5}\cdot\left(\left(\frac{3}{5}\right)^{7}+\left(\frac{6}{5}\right)^{7}+\left(\frac{9}{5}\right)^{7}+\left(\frac{12}{5}\right)^{7}+\left(\frac{15}{5}\right)^{7}\right).\]
Which of the following integrals is Alex approximating?

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What is the Riemann sum of the function \(f(x)= x^3-6x\) is in the interval \( [0, 6] \), if we divide it into 3 equal parts and use the midpoint of each interval?

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