Evaluate the integral.
{eq}\int {{{\tan }^2}\left( x \right){{\sec }^4}\left( x \right)dx} {/eq}
Question:
Evaluate the integral.
{eq}\int {{{\tan }^2}\left( x \right){{\sec }^4}\left( x \right)dx} {/eq}
Indefinite Integral:
A kind of integral is pronounced as an indefinite integral in which a function is integrated without using any boundaries or limits. In mathematics, such kind of integral is denoted by {eq}\int{f\left( x \right)dx} {/eq}. If the integral is given in the form of {eq}\int\limits_{{{x}_{1}}}^{{{x}_{2}}}{f\left( x \right)dx} {/eq}, it is known as definite integral and {eq}{{x}_{2}},\ {{x}_{2}} {/eq} is the limit or boundary.
Answer and Explanation: 1
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The given integral is shown below,
{eq}\int{{{\tan }^{2}}\left( x \right){{\sec }^{4}}\left( x \right)dx} {/eq}
We know that {eq}{{\sec...
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Chapter 12 / Lesson 11Indefinite integrals, an integral of the integrand which does not have upper or lower limits, can be used to identify individual points at specific times. Learn more about the fundamental theorem, use of antiderivatives, and indefinite integrals through examples in this lesson.