Mathematics · 2021
JEE Main · 31 August 2021, Shift 1 · Q85
If x φ(x)=∫_5^x(3 t^2-2 φ^′( t )) dt, x>-2, and φ(0)=4, then φ(2) is \ \ \ \.
If $\displaystyle x \phi(x)=\int_5^x\left(3 \mathrm{t}^2-2 \phi^{\prime}(\mathrm{t})\right) \mathrm{dt}, x>-2$, and $\displaystyle \phi(0)=4$, then $\displaystyle \phi(2)$ is \_\_\_\_.
Official answer
4
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