What is the integral from pi to 2pi of-cos(x) ?

The integral from pi to 2pi of-cos(x) is 0

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integral from pi to 2pi of-cos(x)

\int_{π}^{2 π} - cos (x) d x

0

Solution steps

\int_{π}^{2 π} - cos (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int_{π}^{2 π} cos (x) d x

Use the common integral:

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

= - [sin (x)]_{π}^{2 π}

Compute the boundaries:

0

= - 0

Simplify

= 0

x \to 1 lim (\frac{x - x ^{3}}{x - 1})

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

\int 3 x^{3} e^{5 x^{4}} d x

y^{^{''}} + 3 y^{^{'}} - 10 y = 0

\frac{d}{d x} (e^{x^{4}} \cdot 4 x^{3})

What is the integral from pi to 2pi of-cos(x) ?
The integral from pi to 2pi of-cos(x) is 0