the slope of tangent to the curve y=intigrate with limit ( 0 to 1 )dx/ 1+x3 at the point where x= 1 is? find that point.

slope of y is differentiation of y at that point

differentiation of y is 1/(1+x^3)

as differentiation of integral of a function gives the same function

so the slope at x=1 is 1/2........

or the slope is 1 at x=0