Exercise is mixed —some require integration by parts, while others can be integrated by using techniques discussed in the chapter on integration.
∫(8x+10) ln (5x) dx.

Step-by-step explanation:

We have been given an definite integral . We are asked to find the integral using integration by parts.

We will use Integration by parts formula to solve our given problem.

Let and .

Now, we need to find du and v using these values as shown below:

Using chain rule, we will get:

Upon substituting these values in integration by parts formula, we will get:

Therefore, our required integral would be .

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

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