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Evaluating a Definite Integral In Exercises $57-64$ , evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. $$\int_{0}^{7} \frac{1}{\sqrt{100-x^{2}}} d x$$
Step 1
The integrand \(\frac{1}{\sqrt{100-x^2}}\) resembles the derivative of the inverse sine function. Recall that the derivative of \(\arcsin(x)\) is \(\frac{1}{\sqrt{1-x^2}}\). Show more…
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