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Magazine Problem 393
In the following exercises, evaluate each integral in terms of an inverse trigonometric function. $$\int_{\sqrt{3}}^{1} \frac{d x}{\sqrt{1+x^{2}}}$$
Problem 394
In the following exercises, evaluate each integral in terms of an inverse trigonometric function. $$\int_{1 / \sqrt{3}}^{\sqrt{3}} \frac{d x}{1+x^{2}}$$
Problem 395
In the following exercises, evaluate each integral in terms of an inverse trigonometric function. $$\int_{1}^{\sqrt{2}} \frac{d x}{|x| \sqrt{x^{2}-1}}$$
Problem 396
In the following exercises, evaluate each integral in terms of an inverse trigonometric function. $$\int_{1}^{2 \sqrt{3}} \frac{d x}{|x| \sqrt{x^{2}-1}}$$
Problem 397
In the following exercises, find each indefinite integral, using appropriate substitutions. $$ \int \frac{d x}{\sqrt{9-x^{2}}}$$
Problem 398
In the following exercises, find each indefinite integral, using appropriate substitutions. $$\int \frac{d x}{\sqrt{1-16 x^{2}}}$$
Problem 399
In the following exercises, find each indefinite integral, using appropriate substitutions. $$\int \frac{d x}{9+x^{2}}$$
Problem 400
In the following exercises, find each indefinite integral, using appropriate substitutions. $$\int \frac{d x}{25+16 x^{2}}$$
Problem 401
In the following exercises, find each indefinite integral, using appropriate substitutions. $$\int \frac{d x}{|x| \sqrt{x^{2}-9}}$$
Problem 402
In the following exercises, find each indefinite integral, using appropriate substitutions. $$\int \frac{d x}{|x| \sqrt{4 x^{2}-16}}$$
