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Statement-1: $\int_{- π / 3}^{π / 3} x^{10} \sin^{9} x d x = 0$
Statement-2: $f (x) = x^{2 n}$ is an even function and $g (x) = \sin^{2 m + 1} x$ 1x is an odd function, m and n are integers.

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detailed solution

Correct option is A

x10sin9⁡x is an odd function so∫−aa x10sin9⁡xdx=0

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Statement-1: ∫−π/3π/3 x10sin9⁡xdx=0Statement-2: f(x)=x2n is an even function and g(x)=sin2m+1⁡x 1x is an odd function, m and n are integers.

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Statement-1: $\int_{- π / 3}^{π / 3} x^{10} \sin^{9} x d x = 0$
Statement-2: $f (x) = x^{2 n}$ is an even function and $g (x) = \sin^{2 m + 1} x$ 1x is an odd function, m and n are integers.