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Let y = f(x) be a differentiable curve satisfyingint_(2)^(x)f(t)dt=(x^(2))/(2)+int_(x)^(2)t^(2)f(t)dt, then int_(-pi//4)^(pi//4)(f(x)+x^(9)-x^(3)+x+1)/(cos^(2)x)dx equals :

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Answer :C


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