Evaluate {eq}\int_{0}^{\frac{\pi}{4}} \sec^2(t) \, \mathrm{d}t {/eq}.


Evaluate {eq}\int_{0}^{\frac{\pi}{4}} \sec^2(t) \, \mathrm{d}t {/eq}.

Definite Integrals:

The definite integral is solved by using the integration formula. The value of the converging definite integral is finite and can be measurable. The diverging integral will have an infinite value.

Answer and Explanation: 1

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We have to solve the definite integral as follows:

{eq}\begin{align} \int _0^{\frac{\pi }{4}}\sec ^2\left(t\right)dt &= \left[\tan...

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Definite Integrals: Definition


Chapter 12 / Lesson 6

A definite integral is found as the limit between a line graphed from an equation, and the x-axis, either positive or negative. Learn how this limit is identified in practical examples of definite integrals.

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