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Evaluate the integral.

{eq}\int_{1}^{\sqrt{3}} \arctan (\frac{1}{x}) dx {/eq}

Question:

Evaluate the integral.

{eq}\int_{1}^{\sqrt{3}} \arctan (\frac{1}{x}) dx {/eq}

Integrals Definite Applying Integration by Parts:

Sometimes when we solve definite integrals of inverse trigonometric functions we find that we can apply the method of integration by parts

to calculate the antiderivative and later we evaluate the antiderivative in its upper and lower limits using Borrow's rule.

Answer and Explanation: 1

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{eq}\eqalign{ & {\text{Let's evaluate the definite integral}}\,\,\,\int_1^{\sqrt 3 } {\arctan \left( {\frac{1}{x}} \right)dx} : \cr &...

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Integrals of Inverse Trigonometric Functions

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Chapter 18 / Lesson 5
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Find the inverse trig integrals using the derivative of inverse trig identities. Learn through some examples related to the integrals of inverse trig functions.


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