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Question Number 47341 by chakri last updated on 08/Nov/18

1.sketch  the  region  of  integration,reverse  order  of  integration  and  hence  evaluate  the ∫_0 ^(2(√(ln3)))  ∫_(y/2) ^(√(ln3))   e^x^2   dx dy

$$\mathrm{1}.\mathrm{sketch}\:\:\mathrm{the}\:\:\mathrm{region}\:\:\mathrm{of}\:\:\mathrm{integration},{reverse}\:\:{order}\:\:{of}\:\:{integration}\:\:{and}\:\:{hence}\:\:{evaluate}\:\:{the}\:\underset{\mathrm{0}} {\overset{\mathrm{2}\sqrt{{ln}\mathrm{3}}} {\int}}\:\underset{{y}/\mathrm{2}} {\overset{\sqrt{{ln}\mathrm{3}}} {\int}}\:\:{e}^{{x}^{\mathrm{2}} } \:{dx}\:{dy} \\ $$

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