Tangent Line to an Integral Function

Question

Let $$g$$ be the function defined by $$g(x)=\int_{\pi/3}^{x}\cos^2t\, dt$$. What is an equation of the line tangent to the graph of $$g$$ at $$x=\frac{\pi}{3}$$?

Accepted Answer

$$y=\frac{1}{4}\left(x-\frac{\pi}{3}\right)$$

Answer

$$y=\frac{\sqrt{3}}{2}\left(x-\frac{\pi}{3}\right)$$

Answer

$$y=\frac{1}{2}x-\frac{\pi}{6}$$

Answer

$$y=0$$

Tangent Line to an Integral Function

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