Question

The slope of the tangent of the curve $y={\int }_0^x\frac{dx}{1+x^3}$ at the point where x = 1 is

• A. $\frac{1}{4}$
• B. $\frac{1}{2}$
• C. $1$
• D. $noneofthese$

Answer 1

The correct option is B $\frac{1}{2}$

$\frac{dy}{dx}=\frac{1}{1+x^3},(\frac{dy}{dx}{)}_{x=1}=\frac{1}{2}$