If a curve \( y=f(x) \) passes through the point \( (1,2) \) and sa...

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If a curve \( y=f(x) \) passes through the point \( (1,2) \) and satisfies \( x \frac{d y}{d x}+y=b x^{4} \), then for what value of \( b \),
P
W \( \int_{1}^{2} f(x) d x=\frac{62}{5} ? \)
[JEE Main-2021 (February)]
(a) \( \frac{31}{5} \)
(b) 10
(c) 5
(d) \( \frac{62}{5} \)
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