find the indefinite integral and check the result by differentiation. \int

Donald Johnson

Donald Johnson

Answered question

2021-12-30

find the indefinite integral and check the result by differentiation.
(x+7)dx

Answer & Explanation

Raymond Foley

Raymond Foley

Beginner2021-12-31Added 39 answers

Step 1 Solve the indefinite integral
The integral mentioned in the question is,
(x+7)dx
Let this indefinite integral be equal to a function y.
Thus,
y=(x+7)dx
Now, solve the indefinite integral.
y=x22+7x
Step 2 Check the result by differentiation
The solution of the given indefinite integral is obtained as,
y=x22+7x
Differentiate the given function to see whether it gives back the initial integral.
dydx=12ddx(x2)+ddx(7x)
dydx=12(2x)+(7)
dydx=x+7
This is the same as the initial expression. Thus, the solution to the given initial integral is correct.
Edward Patten

Edward Patten

Beginner2022-01-01Added 38 answers

It is required to calculate:
(x+7)dx
Lets
karton

karton

Expert2022-01-04Added 613 answers

x+7dx
Use properties of integrals
xdx+7dx
Evaluate the integrals
x22+7x
Add C
Answer:
x22+7x+C

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?