(Solved):       The graph of \( f \) is shown. Evaluate each integral by interpreting it ...

 

 

 

The graph of \( f \) is shown. Evaluate each integral by interpreting it in terms of areas. (a) \( \int_{0}^{10} f(x) d x \) (b) \( \int_{0}^{25} f(x) d x \) (c) \( \int_{25}^{35} f(x) d x \) (d) \( \int_{15}^{35} f(x) d x \) (e) \( \int_{15}^{35}|f(x)| d x \) (f) \( \int_{10}^{0} f(x) d x \) Ise the Midpoint Rule with the given value of \( n \) to approximate the integral. Round the answer to four decimal pli \[ \int_{0}^{\pi} 4 x \sin ^{2}(x) d x, \quad n=4 \]