What is the integral from x to sqrt(x of)(sin(y))/y ?

The integral from x to sqrt(x of)(sin(y))/y is \Si(sqrt(x))-\Si(x)

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integral from x to sqrt(x of)(sin(y))/y

\int_{x}^{x} \frac{sin ( y )}{y} d y

Si (x) - Si (x)

Solution steps

\int_{x}^{x} \frac{sin ( y )}{y} d y

Use the nonelementary integral:

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

= [Si (y)]_{x}^{x}

Compute the boundaries:

Si (x) - Si (x)

= Si (x) - Si (x)

\int_{- π}^{π} (x^{2} + x) cos (n x) d x

\int_{0}^{2} x^{2} (x^{2} + 1) d x

\int_{3}^{5} (2 x - 5)^{4} d x

\int_{- 2}^{2} x^{2} + 2 d x

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

What is the integral from x to sqrt(x of)(sin(y))/y ?
The integral from x to sqrt(x of)(sin(y))/y is \Si(sqrt(x))-\Si(x)