Home /
Expert Answers /
Calculus /
evaluate-the-integral-int-sqrt-36x-2-25-x-3-dx-a-which-trig-substitution-is-correct-fo-pa960

Evaluate the integral:

`\int (\sqrt(36x^(2)-25))/(x^(3))dx`

(A) Which trig substitution is correct for this integral?

```
x=(25)/(36)sec(\theta )
x=(5)/(6)sin(\theta )
x=(1)/(36)sec(\theta )
x=(6)/(5)sec(\theta )
x=(5)/(6)sec(\theta )
```

(B) Which integral do you obtain after substituting for

`x`

? Note: to enter

`\theta `

, type the word theta.

`\int (◻)d\theta `

(C) What is the value of the above integral in terms of

`\theta `

? (D) What is the value of the original integral in terms of

`x`

? Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to use another inverse trie function when vou fill in vour answer below.

`+C`