What is the integral from-pi/4 to pi/4 of cos(x) ?

The integral from-pi/4 to pi/4 of cos(x) is square root of 2

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integral from-pi/4 to pi/4 of cos(x)

\int_{- \frac{π}{4}}^{\frac{π}{4}} cos (x) d x

2

Decimal Notation

1.41421 \dots

Solution steps

\int_{- \frac{π}{4}}^{\frac{π}{4}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{- \frac{π}{4}}^{\frac{π}{4}}

Compute the boundaries:

2

= 2

(6 x^{2} + 7) (x^{2} - \frac{1}{x})

\int \frac{x ^{2} - x + 9}{( x ^{2} + 9 ) ^{2}} d x

\int cos (2 x) 2 d x

x \to - 5 + lim (\frac{x - 5}{x + 5})

\frac{d x}{d t} = 375 - \frac{3 x}{800 + 2 t}

What is the integral from-pi/4 to pi/4 of cos(x) ?
The integral from-pi/4 to pi/4 of cos(x) is square root of 2