Mathematics-I (3110014)

Winter-2019

Question-5a

BE | Semester-1 Winter-2019 | 17-01-2020

Q5) (a)

Evaluate $\int_{0}^{1} \int_{1}^{2} xy d y d x$ .

$_{0}^{1} \int_{1}^{2} xy d y d x = (\int_{0}^{1} x dx) \cdot (\int_{1}^{2} y d y)$

$\int_{0}^{1} \int_{1}^{2} xy d y d x = {[\frac{x^{2}}{2}]}_{0}^{1} \cdot {[\frac{y^{2}}{2}]}_{1}^{2}$

$\int_{0}^{1} \int_{1}^{2} xy d y d x = [\frac{1}{2} - 0] \cdot [\frac{4}{2} - \frac{1}{2}]$

$\int_{0}^{1} \int_{1}^{2} xy d y d x = \frac{1}{2} \cdot \frac{3}{2}$

$\int_{0}^{1} \int_{1}^{2} xy d y d x = \frac{3}{4}$

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Mathematics-I (3110014)

Q5) (a)

Evaluate ∫01∫12xy dy dx.

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Evaluate $\int_{0}^{1} \int_{1}^{2} xy d y d x$ .