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The area of the region bounded by the curve y=∣x∣y=|x|, x-axis and the lines x=−5x=-5 and x=5x=5 is

Solution

✅ Correct Option: 3

By symmetry, area =2∫05x dx=2[x22]05=25=2\int_0^5x\,dx=2\left[\frac{x^2}{2}\right]_0^5=25. Equivalently, two right triangles of legs 5 each give 2×252=252\times\frac{25}{2}=25.

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