Mathematics · 2021
JEE Main · 24 February 2021, Shift 2 · Q78
If a curve y=f(x) passes through the point (1,2) and satisfies x (d y)/(d x)+y= b x^4, then for what value of b, ∫_1^2 f(x) d x=62/5?
If a curve $\displaystyle y=f(x)$ passes through the point $\displaystyle (1,2)$ and satisfies $\displaystyle x \frac{\mathrm{~d} y}{\mathrm{~d} x}+y=\mathrm{b} x^4$, then for what value of $\displaystyle \mathrm{b}, \int_1^2 f(x) \mathrm{d} x=\frac{62}{5}$ ?
Official answer
(1)
$\displaystyle 10$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.