$\left| {\mathop {\,\smallint }\limits_{10}^{19} \,\,\frac{{\sin \,\,x}}{{1 + {x^8}}}\,\,dx\,} \right|$ is less than

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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\left| {\mathop {\,\int }\limits_{10}^{19} \,\,\frac{{\sin \,\,x}}{{1 + {x^8}}}\,\,dx\,} \right|

is less than

View answer and explanation

Correct option: C

{10^{ - 7}}

Option C is correct because the absolute value of the integral is less than

{10^{ - 7}}

after bounding the integrand.

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