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  4. Let y=∫ limits2x cos (π t3) d t, then equation of tangent line at x=2, is

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Q. Let $y=\int\limits_2^x \cos \left(\pi t^3\right) d t$, then equation of tangent line at $x=2$, is

Application of Derivatives

Solution:

$ \text { at } x =2, y =0$
$\frac{ dy }{ dx }|_{ x =2}=\cos \left(\pi x ^3\right)=1 $
$y -0=1( x -2) $
$x - x - y =2$