$\int_{-6}^{6} f(x) d x=24.5$ , where $f(x)=\left\{\begin{array}{ll}
1, & x \leq 1 \
x, & x1
\end{array}\right.$

Name: $\int_{-6}^{6} f(x) d x=24.5$ , where $f(x)=\left\{\begin{array}{ll} 1, & x \leq 1 \\ x, & x>1 \end{array}\right.$
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Question

$\int_{-6}^{6} f(x) d x=24.5$ , where $f(x)=\left\{\begin{array}{ll}
1, & x \leq 1 \
x, & x>1
\end{array}\right.$

Quizplus · Accepted Answer

The integral of f(x) from -6 to 1 is 1 * (-6 to 1) = -5. The integral of f(x) from 1 to 6 is (1/2) * (1 to 6)^2 = 10.5. So the total integral is -5 + 10.5 = 24.5.

∫−66f(x)dx=24.5\int_{-6}^{6} f(x) d x=24.5∫−66​f(x)dx=24.5 , Where f(x)={1,x≤1x,x>1f(x)=\left\{\begin{array}{ll}1, & x \leq 1 \\x, & x>1\end{array}\right.f(x)={1,x,​x≤1x>1​

$\int_{-6}^{6} f(x) d x=24.5$ , Where $f(x)=\left\{\begin{array}{ll}1, & x \leq 1 \\x, & x>1\end{array}\right.$