Anonymous
Anonymous asked in Science & MathematicsGeography Β· 5 months ago

Area between two curves?

Calculate the area 𝐴 of the region between the two curves π‘₯=𝑦2βˆ’2𝑦 and π‘₯=2𝑦+12.

Express your answer in exact form.

Update:

Calculate the area 𝐴 of the region between the two curves π‘₯=𝑦^2βˆ’2𝑦 and π‘₯=2𝑦+12.

Express your answer in exact form.

2 Answers

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  • 5 months ago

    Subtract and then integrate

    Hence x = y^2 - 4y - 12

    Int [y^2 - 4y - 12 dy

    y^3/3 - 4y^2/2 - 12y + C =>

    y^3/3 - 2y^2 - 12y + C

    'C' is the constant that would be there if the limits where known.

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  • 5 months ago

    neither of those are curves.

    note that y2 = 2y

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