Answered

Join the conversation on IDNLearn.com and get the answers you seek from experts. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

Find the area bounded by the curves x = 2y2 and x = 1 - y. Your work must include an integral in one variable.

Please help!!

Sagot :

Caylusidn

Answer:

Hello,

in order to simplify, i have taken the inverses functions

Step-by-step explanation:

[tex]\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\[/tex]

View image Caylus
View image Caylus
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.