10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

Using the Tabular Method In Exercises 49–54, use the tabular method to find the integral.

∫ x 3 e − 2 x d x

To determine

To calculate: The value of integral of ∫x3e−2xdx using tabular method.

The provided expression is ∫x3e−2xdx.

Formula used:

The by-parts rule is ∫udv=uv−∫vdu.

Calculation:

Consider the function ∫x3e−2xdx.

Let u=x3,dv=e−2xdx.

Solve both separately.

Differentiate both sides.

Now solve the other one.

Integrate both sides,

Next, create a table that consists of three columns.

Alternate Signs	Derivatives of u	v′ and its anti-derivatives
+	x3	e−2x
−	3x2	−e−2x2
+

Check out a sample textbook solution.

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Calculus

Using the Tabular Method In Exercises 49–54, use the tabular method to find the integral. ∫ x 3 e − 2 x d x

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Chapter 8 Solutions

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Math
Calculus Calculus 10th Edition

Using the Tabular Method In Exercises 49–54, use the tabular method to find the integral.

∫ x 3 e − 2 x d x