91Ó°ÊÓ

The area under the graph of the function \(e^{-x^{2}}\) plays an important role in probability. Compute this area from \(-1\) to 1 .

Drilling of an oil well has a fixed cost of \(\$ 10,000\) and a marginal cost of \(C^{\prime}(x)=1000+50 x\) dollars per foot. where \(x\) is the depth in feet. Find the expression for \(C(x)\), the total cost of drilling \(x\) feet. \([\) Note: \(C(0)=10,000 .\) ]