What is the integral from 0 to 2 of (sin(x))/x ?

The integral from 0 to 2 of (sin(x))/x is 1.60541…

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integral from 0 to 2 of (sin(x))/x

\int_{0}^{2} \frac{sin ( x )}{x} d x

1.60541 \dots

Solution steps

\int_{0}^{2} \frac{sin ( x )}{x} d x

Use the nonelementary integral:

\int \frac{sin ( x )}{x} d x = Si (x)

= [Si (x)]_{0}^{2}

Compute the boundaries:

1.60541 \dots

= 1.60541 \dots

\int_{0}^{\frac{π}{2}} sin^{8} (x) d x

\int_{2}^{5} (3 x + 1) d x

\int_{1}^{\infty} x ln (x) d x

\int_{- 1}^{1} \frac{1}{1 - ∣ x ∣} d x

\int_{1}^{5} x e^{x} d x

What is the integral from 0 to 2 of (sin(x))/x ?
The integral from 0 to 2 of (sin(x))/x is 1.60541…