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Question-206178




Question Number 206178 by naka3546 last updated on 08/Apr/24
Commented by naka3546 last updated on 08/Apr/24
Evaluate this integral by interpreting in terms of areas.  ∫^(35) _0 g(x) dx
$$\mathrm{Evaluate}\:\mathrm{this}\:\mathrm{integral}\:\mathrm{by}\:\mathrm{interpreting}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{areas}. \\ $$$$\underset{\mathrm{0}} {\int}^{\mathrm{35}} {g}\left({x}\right)\:{dx} \\ $$
Commented by mr W last updated on 08/Apr/24
((10×20)/2)+((5×5)/2)−((π×10^2 )/2)≈−44.58
$$\frac{\mathrm{10}×\mathrm{20}}{\mathrm{2}}+\frac{\mathrm{5}×\mathrm{5}}{\mathrm{2}}−\frac{\pi×\mathrm{10}^{\mathrm{2}} }{\mathrm{2}}\approx−\mathrm{44}.\mathrm{58} \\ $$
Commented by naka3546 last updated on 08/Apr/24
Thank you, Prof.
$$\mathrm{Thank}\:\mathrm{you},\:\mathrm{Prof}. \\ $$

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