Math 110 Course Resources - Applications of Definite Integrals Course Packet on the area between two curves Determine the area of the region bounded by $f(x) = -3x + 31$ and $g(x) = 3x - 23$ on the interval $[6, 12]$. Area =
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Math 110 Course Resources: Applications of Definite Integrals Course Packet on the Area Between Two Curves Determine the area of the region bounded by y = (x - 1)e^{5x^2 - 10x} and y = 0 on the interval [0,2]. Area:
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Net area and definite integrals Use geometry (not Riemann sums) to evaluate the following definite integrals. Sketch a graph of the integrand, show the region in question, and interpret your result. $$\int_{0}^{4} f(x) d x, \text { where } f(x)=\left\{\begin{array}{ll} 5 & \text { if } x \leq 2 \\ 3 x-1 & \text { if } x > 2 \end{array}\right.$$
Integration
Definite Integrals
Definite integrals Use geometry (not Riemann sums) to evaluate the following definite integrals. Sketch a graph of the integrand. show the region in question, and interpret your result. $$\int_{0}^{4} f(x) d x, \text { where } f(x)=\left\{\begin{array}{ll} 5 & \text { if } x \leq 2 \\ 3 x-1 & \text { if } x>2 \end{array}\right.$$
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