# Find the volume by integrals

#### lldk

##### New member
Can anyone teach me how to solve this question? Since I have no any idea

#### Prof

##### Junior Member
You are expected to work out some of the steps on your own, and submit your work with questions. I can get you started.
You can solve this with a double integral of z with respect to dy dx. Solve the function equation for z remembering that it is only in the first octant. Then you have to find the integral limits for y and x for the solid region in the problem.

#### Subhotosh Khan

##### Super Moderator
Staff member
Can anyone teach me how to solve this question? Since I have no any ideaView attachment 17587
I were to do this problem, I would:

first sketch an approximate shape of x+y+z^2 = 1 and try to sketch the solid (use wolframalfa to expedite)

Next decide the limits of integration. What do you get?

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