Evaluate iterated integral. \int_1^2\int_4^9\frac{3+5y}{\sqrt{x}}dxdy

Rivka Thorpe

Rivka Thorpe

Answered question


Evaluate iterated integral.

Answer & Explanation



Skilled2021-10-22Added 79 answers

We can evaluate the double integral by integrating with respect to each variable one by one according to their order in the integration term . After integrating with respect to one variable , we have to apply its limit and then we can perform integration using next variable .
The following integration formulas can be used here ,
Consider the double integral 12493+5yxdxdy
Where x can be written as x12 using the conversion formula of radical to exponent m{an}=anm
The expression can be written as (3+5y)x12 by taking x12 to the numerator.
Thus we can write the integral as 1249(3+5y)x12dxdy
First we have to integrate with respect to x by taking y terms outside as a constant.
Use the formula xndx=xn+1n+1+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?