What is the integral from-pi/3 to pi/3 of cos(x) ?

The integral from-pi/3 to pi/3 of cos(x) is square root of 3

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integral from-pi/3 to pi/3 of cos(x)

\int_{- \frac{π}{3}}^{\frac{π}{3}} cos (x) d x

3

Decimal

1.73205 \dots

Solution steps

\int_{- \frac{π}{3}}^{\frac{π}{3}} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= [sin (x)]_{- \frac{π}{3}}^{\frac{π}{3}}

Compute the boundaries:

3

= 3

\int_{0}^{1} (x^{2} - 2 x + 4) d x

\int_{0}^{4} (14 - t) t d t

\int_{1}^{- 1} (6 r + 5)^{2} d r

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

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

What is the integral from-pi/3 to pi/3 of cos(x) ?
The integral from-pi/3 to pi/3 of cos(x) is square root of 3