The current in a conductor is expressed as $I=3 t^2+4 t^3$, where $I$ is in Ampere and $t$ is in second. The amount of electric charge that flows through a section of the conductor during $t=1$ s to $t=2 \mathrm{~s}$ is_______ C.
JEE MAIN 2024, Diffcult
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$q=\int_1^2 i d t=\int_1^2\left(3 t^2+4 t^3\right) d t$
$q=\left.\left(t^3+t^4\right)\right|_1 ^2$
$q=22 C$
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