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Find three integrals in Exercises 39–74 that can be solved by using a trigonometric substitution of the form x=atanu.

Short Answer

Expert verified

Ans:

1x2-4x+13dxfor531x2+9dxfor56x2-8x+25dxfor57

Step by step solution

01

Step 1. Given information:

x=atanu

02

Step 2. Finding the three integrals using trigonometric substitution :

The three integrals that can be solved using a trigonometric substitution of the form x=atan uare the exercises 53,56 and 57.

The integrals are as follows.

53. 1x2-4x+13dx

56. 1x2+9dx

57. x2-8x+25dx

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