$\ int \ int_D x ^ 2y \, dA$, where $D$ is the leading fifty percent of the disk with facility the beginning and also radius $5$.

when i connected whatever in, I obtained the dual important $$\ int_0 ^ \ pi \ int_0 ^ 5 r ^ 4 \ cos ^ 2 \ theta \ wrong \ theta \, dr \, d \ theta.$$ then I utilized $u$ alternative and also obtained $5 \ int u ^ 2 \, du =\ left. \ frac 5u ^ 3 3 \ appropriate \ vert _ \ theta=0 ^ \ theta=\ pi =-5/ 3 - 5/3 = -10/ 3$ yet that"s absolutely incorrect. I considered numerous instances, what am I doing incorrect below? I"m rather certain i have the right technique however something"s failing.

You have actually failed to remember to incorporate relative to $r$ as well as I have no suggestion where does your leading $5$ originates from.

$$\ int_0 ^ 5r ^ 4 \, dr =\ frac =5 ^ 4$$

\ start straighten \ int_0 ^ \ pi \ cos ^ 2 \ theta \ wrong \ theta \, d \ theta &= \ left. -\ frac \ cos ^ 3 \ theta 3 \ appropriate \ vert_0 ^ \ pi \ end straighten

Many thanks for adding a response to lovebattery.netematics Heap Exchange!

Please make certain to*respond to the concern*Supply information as well as share your research study!

Yet * stay clear of * ...

Usage lovebattery.netJax to style formulas. lovebattery.netJax recommendation.

To find out more, see our pointers on composing wonderful solutions.

Blog Post Your Response Discard

By clicking "Blog post Your Solution", you accept our regards to solution, personal privacy plan and also cookie plan

## Not the solution you'& #x 27; re seeking? Search various other concerns labelled calculus assimilation multivariable-calculus polar-coordinates or ask your very own concern.

Review the provided important by transforming to polar collaborates. (just how to incorporate $\ wrong(r ^ 2)r$ relative to $r$?

website layout/ logo design © © 2021 Heap Exchange Inc; individual payments accredited under cc by-sa. rev2021.9.9.40165

lovebattery.netematics Heap Exchange functions ideal with JavaScript made it possible for

Your personal privacy

By clicking "Approve all cookies", you concur Heap Exchange can keep cookies on your tool and also reveal details according to our Cookie Plan.