What is the integral from 0 to 100 of 37cos(x/(80)) ?

The integral from 0 to 100 of 37cos(x/(80)) is 2960sin(5/4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 100 of 37cos(x/(80))

\int_{0}^{100} 37 cos (\frac{x}{80}) d x

2960 sin (\frac{5}{4})

Decimal Notation

2808.99447 \dots

Solution steps

\int_{0}^{100} 37 cos (\frac{x}{80}) d x

Take the constant out:

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

= 37 \cdot \int_{0}^{100} cos (\frac{x}{80}) d x

Apply u-substitution

: \int_{0}^{\frac{5}{4}} cos (u) \cdot 80 d u

= 37 \cdot \int_{0}^{\frac{5}{4}} cos (u) \cdot 80 d u

Take the constant out:

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

= 37 \cdot 80 \cdot \int_{0}^{\frac{5}{4}} cos (u) d u

Use the common integral:

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

= 37 \cdot 80 [sin (u)]_{0}^{\frac{5}{4}}

Simplify

= 2960 [sin (u)]_{0}^{\frac{5}{4}}

Compute the boundaries:

sin (\frac{5}{4})

= 2960 sin (\frac{5}{4})

\int sin^{3} (4 x co) s^{2} 4 x d x

2 x y^{^{'}} + y = 8 x^{3}

(x, y) \to (0, 1) lim (x^{3} y)

x \to 0 lim (5 x + 2)

x \to - 2 lim (2^{x})

What is the integral from 0 to 100 of 37cos(x/(80)) ?
The integral from 0 to 100 of 37cos(x/(80)) is 2960sin(5/4)