Mathematics, 11.12.2019 22:31 drippyyahja
The function f is defined by f(x) = {2 for x< 3, x-1 for x> 3. what is the value of the integral from 1 to 5 of f(x) dx? i know the answer is 10 but i don't know how?
Answers: 3
![\rm \int\limits^5_1 {f(x)} \, dx =\left[2x\right]^3_1 +\left[\dfrac{x^2}{2}-x\right]^5_3](/tpl/images/0414/1885/196a7.png)
![\rm \int\limits^5_1 {f(x)} \, dx =\left[2(3)-2(1)\right] +\left[\dfrac{5^2}{2}-5-\dfrac{3^2}{2}+3\right]](/tpl/images/0414/1885/3f5b4.png)
![\rm \int\limits^5_1 {f(x)} \, dx =\left[6-2\right] +\left[\dfrac{25}{2}-5-\dfrac{9}{2}+3\right]](/tpl/images/0414/1885/ba004.png)
is not the same over the subintervals [1, 3) and [3, 5]. Proceed with integration as usual:
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The function f is defined by f(x) = {2 for x< 3, x-1 for x> 3. what is the value of the integr...
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