If the area of the region bounded by the curves y = 4 − 4 x 2 and y = 2 x − 4 is equal to α , then 6 α equals

Question

If the area of the region bounded by the curves y = 4 − 4 x 2 ​ and y = 2 x − 4 ​ is equal to α , then 6 α equals

TestHub · Accepted Answer

​ Area = ∫ − 6 4 ​ { ( 4 − 4 x 2 ​ ) − ( 2 x − 4 ​ ) } d x = ∫ − 6 4 ​ { − 4 x 2 ​ − 2 x − 6 ​ } d x α = − 12 x 3 ​ − 4 x 2 ​ + 6 x ∣ − 6 4 ​ = 3 125 ​ ∴ 6 α = 250 ​

Mathematics - Area under the curve Question with Solution | TestHub

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