The integral of with respect to is .

Evaluate at and at .

The exact value of is .

Simplify the answer.

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.

The exact value of is .

Multiply by .

Multiply by .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Evaluate integral from pi/6 to pi of sin(x) with respect to x