In this lesson, we will learn how to use trigonometric substitutions to evaluate integrals containing radicals of the form √(x² ± a²).

Q1:

Use a trigonometric substitution to evaluate (1−𝑥)𝑥𝑥d.

Q2:

Use a trigonometric substitution to evaluate 𝑥𝑥(𝑥−1)d, where 𝑥>1.

Q3:

Use a trigonometric substitution to evaluate √𝑦−49𝑦𝑦d, where 𝑦>7.

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