Using the power series sin(x)=∑n=0∞(−1)nx2n+1(2n+1)!\sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^n x^{2n+1}}{(2n+1)!}sin(x)=∑n=0∞(2n+1)!(−1)nx2n+1, evaluate ∫01sin(x)xdx\int_0^1 \frac{\sin(x)}{x} dx∫01xsin(x)dx to three decimal places.
0.9460.9460.946
0.8410.8410.841
0.5000.5000.500
1.0001.0001.000