Question

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

• A. $\frac{1}{2}$
• B. $1$
• C. $\frac{1}{4}$
• D. none of these

Answer 1

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

$y={\int }_0^x\frac{dx}{1+x^3}\frac{dy}{dx}=\frac{1}{1+x^3}=\frac{1}{2}$