Inside-itself integration

Calculus Level 3

Find ∫ − e π e π sin ⁡ x ⋅ sin ⁡ ( sin ⁡ x ) ⋅ sin ⁡ ( sin ⁡ ( sin ⁡ x ) ) d x \LARGE\int_{-e^\pi}^{e^\pi}\sin x\cdot\sin(\sin x)\cdot\sin(\sin(\sin x))\mbox{ d}x .


The answer is 0.

Kenny Lau by Kenny Lau , 22, Hong Kong

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2 solutions

Masood Salik
Jul 15, 2014

Upper Limits and Lower Limits are same ,one with negative sisn there for result will always be zero..

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Prabhat Sharma
Jul 12, 2014

Odd function

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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