Bounds and Bounds

Calculus Level 4

Assume that the equation ∫ 2 B 3 12 x 2 x 3 + 1 d x = 200 \displaystyle \int _{ 2 }^{ \sqrt [ 3 ]{ B } }{ \frac { { 12x }^{ 2 } }{ \sqrt { { x }^{ 3 }+1 } }\, dx=200 } holds true where B = Q × R B=Q\times R and Q Q and R R are coprime integers. If ∫ Q R ( − x + 2 ) d x = 52 \displaystyle \int _{ Q }^{ R }{ (-x+2)\, dx=52 } , what is the value of R R ?


The answer is 27.

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Liam P by Liam P , 22, Canada

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2 solutions

Akhil D
Jun 7, 2016

1 Helpful 0 Interesting 1 Brilliant 0 Confused
Rindell Mabunga
Jun 8, 2016

By the way, -27 also works. I recommend putting absolute value of R instead of R only. Thanks

0 Helpful 0 Interesting 0 Brilliant 0 Confused

No. Only (-27) works. Check your working again.

Pi Han Goh - 5 years ago

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