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

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

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

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

Si (y) - Si (y)

Solution steps

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

Use the nonelementary integral:

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

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

Compute the boundaries:

Si (y) - Si (y)

= Si (y) - Si (y)

\int_{- 2}^{1} (- x^{2} - 6 x - 9) d x

\int_{1}^{3} 2 x (x^{2} + 6) d x

\int_{1}^{3} 1 + \frac{1}{u} + \frac{1}{u ^{2}} d u

\int_{1}^{3} \frac{4 ( x ^{2} + 1 )}{x ^{2}} d x

\int_{0}^{t} e^{2 x} d x

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