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

Use the Trapezoidal Rule to approximate ∫0.8−1.2tanxx+9dx using n=3. Round your answer-example-1
User TrueinViso
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1 Answer

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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

Use the Trapezoidal Rule to approximate ∫0.8−1.2tanxx+9dx using n=3. Round your answer-example-1
Use the Trapezoidal Rule to approximate ∫0.8−1.2tanxx+9dx using n=3. Round your answer-example-2
User Anurag Dhadse
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6.5k points