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Problem Consider the function defined on [ 0 , 1 ] → R [0,1]\to R [ 0 , 1 ] → R f ( x ) = sin x − x cos x x 2 , if x ≠ 0 and f ( 0 ) = 0. f(x)=\frac{\sin x-x\cos x}{x^2},\text{ if }x\ne 0\text{ and }f(0)=0. f ( x ) = x 2 sin x − x cos x , if x = 0 and f ( 0 ) = 0. ∫ 0 1 f ( x ) d x \int_{0}^{1} f(x)\,dx ∫ 0 1 f ( x ) d x 1 − sin ( 1 ) 1 - \sin(1) 1 − sin ( 1 ) sin ( 1 ) − 1 \sin(1) - 1 sin ( 1 ) − 1 sin ( 1 ) \sin(1) sin ( 1 ) − sin ( 1 ) -\sin(1) − sin ( 1 ) Browse the problem library