Question

Use the Trapezoidal Rule to approximate ∫0.8−1.2tanxx+9dx using n=3. Round your answer to the fourth decimal place.

Answer 1

Step-by-step explanation

We are asked to simplify

`\int_(-1.2)^(0.8)(tanx)/(x+9)dx,\text{ n=3}`

To solve this, we will have

So that

`\Delta x=(0.8-(-1.2))/(3)=(2)/(3)`

next, we will divide the intervals into 3

`\begin{gathered} We\text{ will divide \lbrack-1.2,0.8\rbrack into 3} \\ \end{gathered}`

`\begin{gathered} \text{ } \\ so\text{ we have} \\ -(6)/(5),-(8)/(15),(2)/(15),(4)/(5) \\ \end{gathered}`

Thus, we will have

So we will have

`-0.111597`

So the answer is -0.1116