Question

Find integral 0 to 5 f(x) dx f f(x)= {3 for x<3, x, for x>=3}
What is the first step to solving this? :p

Answer 1

\[\int\limits_{0}^{5}f(x)dx=\int\limits_{0}^{3}f(x)dx+\int\limits_{3}^{5}f(x)dx\]

Answer 2

graphically, you can sketch that piecewise curve and find the area of that rectangle (0 to 3) and that trapezoid (3 to 5)....