Use part I of the Fundamental Theorem of Calculus to find th

Use part I of the Fundamental Theorem of Calculus to find the derivative of f (x) = 1 / 1 + t3 dt f\' (x) =

Solution

fundamental theorem:
if f(x)=5y(x) g(t)dt then

fI(x) = yI(x) * g(x) - (5)I *g(x) ;

so substituting for given expression , we get ;

= 1* 1/1+x3 - 0 * 1/1+x3 ;

=1/1+x3

 Use part I of the Fundamental Theorem of Calculus to find the derivative of f (x) = 1 / 1 + t3 dt f\' (x) = Solutionfundamental theorem: if f(x)=5y(x) g(t)dt t

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