Use integration by parts to find the integrals in exercise.
∫^3_0 3-x/3e^x dx.

8.733046.

Step-by-step explanation:

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

Using sum rule of integrals, we will get:

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:

Substituting our given values in integration by parts formula, we will get:

Compute the boundaries:

Therefore, the value of the given integral would be 8.733046.

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )