A calculus problem by Brandon Ohrberg

Calculus Level 3

Evaluate ∫ ∑ x = 1 5 x ∑ x = 1 6 x y d y \large \int_{\sum_{x=1}^5 x}^{\sum_{x=1}^6 x} y \, dy

-108 100 220.5 108

Brandon Ohrberg by Brandon Ohrberg , 18, USA

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1 solution

X X
Dec 3, 2018

The integral becomes ∫ 15 21 y d y = 2 1 2 − 1 5 2 2 = 108 \displaystyle\int_{15}^{21}y\space dy=\frac{21^2-15^2}2=108

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