Use the substitution x = \frac{6}{5} \tan t to transform the integral I = \int \frac{dx}{\sqrt...
Question:
Use the substitution {eq}x = \frac{6}{5} \tan t {/eq} to transform the integral {eq}I = \int \frac{dx}{\sqrt {25x^2 + 36}} {/eq} into a trigonometric integral.
{eq}I = \int {/eq} _____ dt
Evaluation of Integral:
Integration is reverse of differentiation.It is also called anti derivative.
Here, we are going to use substitution method to evaluate the integral.
Add constant c at the end of evaluation.
Answer and Explanation: 1
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View this answerGiven integral is
{eq}\displaystyle I = \int \frac{dx}{\sqrt {25x^2 + 36}} {/eq}
Substitute, {eq}\displaystyle x = \frac{6}{5} \tan t {/eq} on...
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Chapter 7 / Lesson 9Learn the work done formula and understand the application of work integral in the work done formula with examples problems using calculus.