A calculus problem by Cristian Camilo Collazos

Calculus Level 1

∫ 1 2 3 × 3 × 3 × 3 × 3 × 3 3 5 d x = ? \large \int_1^2 \dfrac {3\times 3\times 3\times 3\times 3\times 3}{3 ^5} \, dx=\,?


The answer is 3.

Cristian Camilo Collazos by Cristian Camilo Collazos , 33, Canada

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1 solution

. .
Feb 20, 2021

∫ 1 2 3 × 3 × 3 × 3 × 3 × 3 3 5 d x = ∫ 1 2 3 6 3 5 d x = ∫ 1 2 3 d x = 3 \displaystyle \int ^ { 2 } _ { 1 } \frac { 3 \times 3 \times 3 \times 3 \times 3 \times 3 } { 3 ^ { 5 } } dx = \displaystyle \int ^ { 2 } _ { 1 } \frac { 3 ^ { 6 } } { 3 ^ { 5 } } dx = \displaystyle \int ^ { 2 } _ { 1 } 3 dx = \boxed { \boxed { \boxed { 3 } } } .

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