CLG 7/25

Which concept in calculus is used to find the area under a curve?

Which theorem guarantees that the limit of the Riemann sums exists and gives the exact area under the curve?

Antiderivative of cos(x)?

What is the process of approximating the area under a curve using rectangles called?

Evaluate \lim_{x\to∞}\frac{10x^2+3x}{5x^2+2x}

When estimating area, what happens to the accuracy of the approximation as the width of the rectangles decreases?

Antiderivative of f\left(x\right)=\frac{1}{x}+2e^{2x}

Evaluate \lim_{x\to0}\frac{e^x-1}{\sin x}