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$\int\limits_{-\frac{5}{2}}^{\frac{5}{2}}|x|dx$ is equal to |
$\frac{25}{4}$ 0 $\frac{5}{2}$ $-\frac{5}{2}$ |
$\frac{25}{4}$ |
The correct answer is Option (1) → $\frac{25}{4}$ $\int_{-5/2}^{5/2}|x|\,dx$ $|x|$ is an even function $=2\int_{0}^{5/2}x\,dx$ $=2\left[\frac{x^2}{2}\right]_{0}^{5/2}$ $=2\cdot\frac{25}{8}$ $=\frac{25}{4}$ The value of the integral is $\frac{25}{4}$. |
