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Mathematics · 2021

JEE Main · 16 March 2021, Shift 1 · Q90

Let the curve y=y(x) be the solution of the differential equation, (d y)/(d x)=2(x+1). If the numerical value of area bounded by the curve y=y(x) and…

Let the curve $\displaystyle y=y(x)$ be the solution of the differential equation, $\displaystyle \frac{\mathrm{d} y}{\mathrm{~d} x}=2(x+1)$. If the numerical value of area bounded by the curve $\displaystyle y=y(x)$ and $\displaystyle x$-axis is $\displaystyle \frac{4 \sqrt{8}}{3}$, then the value of $\displaystyle y(1)$ is equal to \_\_\_\_.
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