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Applied Mathematics · 2022 · 2 marks

CBSE 2022 · Central · Set 4 · Q1

(a) Evaluate: 0^1 { e^{ }}{( +1)^2} d

(a)
Evaluate :
$$\int_0^$\displaystyle 1$ \frac{\mathrm{x} e^{\mathrm{x}}}{(\mathrm{x}+$\displaystyle 1$)^$\displaystyle 2$} d \mathrm{x}
OR
(b)
Solve the following differential equation :
$$\frac{d \mathrm{y}}{d \mathrm{x}}=e^{\mathrm{x}+\mathrm{y}}+\mathrm{x}^$\displaystyle 2$ e^{\mathrm{y}}

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