## Related questions with answers

Question

Use a computer algebra system to evaluate the following integral. Find both an exact result and an approximate result for each definite integral. Assume a is a positive real number. $\int_{0}^{\pi / 2} \cos ^{6} x d x$

Solution

VerifiedStep 1

1 of 2Using the Computer Algebra System, this integral is equal to

$\boxed{\color{#4257b2}\frac{5\pi}{32}},$

or approximately

$\boxed{\color{#4257b2}0.49087}.$

$\text{\underline{Note:}}$ You might get a different result, depending on a CAS being used, but the approximation must be equal.

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