Evaluate the integral using the indicated trigonometric substitution. (use C for the constant.)...
Question:
Evaluate the integral using the indicated trigonometric substitution. (use C for the constant.)
{eq}\displaystyle \int \frac{-8 x^3}{\sqrt {x^2 + 9}}\ dx,\ x = 3\tan \theta. {/eq}
Solving Integrals Using Substitution:
It can be noted here that out of many integration solving methods, one of them is the integration by substitution method. The substitution of the variable is important where the derivative is also required to change the variable of the differentials, with respect to which the integration is to be done
Answer and Explanation: 1
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View this answerThe integral to be taken here is:
{eq}\displaystyle \displaystyle \int \frac{-8 x^3}{\sqrt {x^2 + 9}}\ dx,\ {/eq}.
So here to solve this, we will...
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Chapter 13 / Lesson 5Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with various examples.