Evaluate the integral.

{eq}\int_{0}^{\pi/2} \cos^2 \theta \, \mathrm{d}\theta {/eq}


Evaluate the integral.

{eq}\int_{0}^{\pi/2} \cos^2 \theta \, \mathrm{d}\theta {/eq}

Definite Integral:

In mathematics, two types of integration can be observed. One is with a boundary (lower limit and upper limit) and another one is without any boundary. Here, the integration with boundary is defined as definite integral, and the integration without boundary is defined as indefinite integral.

Answer and Explanation: 1

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The given definite integral is {eq}\int\limits_{0}^{\dfrac{\pi }{2}}{{{\cos }^{2}}\theta d\theta } {/eq}.

We know that {eq}{{\cos }^{2}}\theta...

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Evaluating Definite Integrals Using the Fundamental Theorem


Chapter 16 / Lesson 2

In calculus, the fundamental theorem is an essential tool that helps explain the relationship between integration and differentiation. Learn about evaluating definite integrals using the fundamental theorem, and work examples to gain understanding.

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