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Q.

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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a

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

b

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

c

STATEMENT-1 is True, STATEMENT-2 is False

d

STATEMENT-1 is False, STATEMENT-2 is True

answer is A.

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Detailed Solution

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.