ko

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

인기 있는 >

integral from 0 to pi of cos(1/2)x

해법

\int_{0}^{π} cos (\frac{1}{2}) x d x

해법

cos (\frac{1}{2}) \frac{π ^{2}}{2}

+1

십진법

4.33069 \dots

솔루션 단계

\int_{0}^{π} cos (\frac{1}{2}) x d x

정수를 빼라:

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

= cos (\frac{1}{2}) \cdot \int_{0}^{π} x d x

전원 규칙 적용

: [\frac{x ^{2}}{2}]_{0}^{π}

= cos (\frac{1}{2}) [\frac{x ^{2}}{2}]_{0}^{π}

경계 계산:

\frac{π ^{2}}{2}

= cos (\frac{1}{2}) \frac{π ^{2}}{2}

인기 있는 예

limit as x approaches pi/2 of (cos(x))/(1-sin(x))

x \to \frac{π}{2} lim (\frac{cos ( x )}{1 - sin ( x )})

limit as x approaches pi/2 of (ln(sin(x)))/((pi-2x)^2)

x \to \frac{π}{2} lim (\frac{ln ( sin ( x ) )}{( π - 2 x ) ^{2}})

limit as x approaches 3 of (2x-4)^4(x-2)

x \to 3 lim ((2 x - 4)^{4} (x - 2))

limit as x approaches 4 of (x^2+4)/5

x \to 4 lim (\frac{x ^{2} + 4}{5})

limit as x approaches pi/2 of (3cos^2(x))/(2-2sin(x))

x \to \frac{π}{2} lim (\frac{3 cos ^{2} ( x )}{2 - 2 sin ( x )})