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Let F(x) be an indefinite integral of sin2x.
STATEMENT-1 : The function F(x) satisfies F(x + π) = F(x) for all real x. because
STATEMENT-2 : sin2(x + π) = sin2x for all real x.
Ax + B log sin(x - α)+ C, then value of (A, B) is
But we know that
then a is equal to :
The integral is equal to
The integral is equal to :
Dividing by x15 in numerator and denominator