The absolute value of ∫$$1019$$ $$sin$$⁡$$x1+x8dx$$ is

Correct option is 1less than 10−7

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The absolute value of $\int_{10}^{19} \frac{\sin x}{1 + x^{8}} d x$ is

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detailed solution

Correct option is A

For x≥10, we have |sin⁡x|≤1 and 1+x8≥108⇒11+x8≤10−8Therefor1∫1019 sin⁡x1+x8dx∣≤∫1019 |sin⁡x|1+x8dx≤∫1019 10−8dx=910−8<10−7

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The absolute value of ∫1019 sin⁡x1+x8dx is

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The absolute value of $\int_{10}^{19} \frac{\sin x}{1 + x^{8}} d x$ is