What is the integral from sqrt(x) to 5 of (sin(t))/t ?

The integral from sqrt(x) to 5 of (sin(t))/t is 1.54993…-\Si(sqrt(x))

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integral from sqrt(x) to 5 of (sin(t))/t

\int_{x}^{5} \frac{sin ( t )}{t} d t

1.54993 \dots - Si (x)

Solution steps

\int_{x}^{5} \frac{sin ( t )}{t} d t

Use the nonelementary integral:

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

= [Si (t)]_{x}^{5}

Compute the boundaries:

1.54993 \dots - Si (x)

= 1.54993 \dots - Si (x)

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What is the integral from sqrt(x) to 5 of (sin(t))/t ?
The integral from sqrt(x) to 5 of (sin(t))/t is 1.54993…-\Si(sqrt(x))