Q. 7 Write down an integral that can ... [FREE SOLUTION]

Chapter 5: Q. 7 (page 428)

Write down an integral that can be solved with integration by parts by choosing $u$ to be the entire integrand and $d v = d x$ .

Short Answer

Expert verified

The integral which can be solved with integration by parts by choosing $u$ to be the entire integrand and $d v = d x$ is $鈭� \ln x d x$

Step by step solution

Step 1. Given information

Here, we are asked to find an integral in which we can choose $u$ to be the entire integrand and $d v = d x$ while solving the integral using integration by parts.

Step 2. Concept

If $u$ and $v$ are differentiable functions, then the formula for integration by parts is $鈭� u d v = u v - 鈭� v d u$

Step 3. Finding the integral

Consider the integrand to be $\ln x$ .

Then, in the integral $鈭� \ln x d x$ , we will be considering $u = \ln x$ which is the integrand and $d v = d x$ while solving the integral using integration by parts.

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91影视

Write down an integral that can be solved with integration by parts by choosing $u$ to be the entire integrand and $d v = d x$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Step 3. Finding the integral

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91影视

Write down an integral that can be solved with integration by parts by choosing uto be the entire integrand anddv=dx.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Step 3. Finding the integral

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Statistics

Pure Maths

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Write down an integral that can be solved with integration by parts by choosing $u$ to be the entire integrand and $d v = d x$ .