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人気のある微分積分 >

integral from 2 to x of cos(t)

解

\int_{2}^{x} cos (t) d t

解

sin (x) - sin (2)

解答ステップ

\int_{2}^{x} cos (t) d t

共通積分を使用する:

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

= [sin (t)]_{2}^{x}

限度を計算する:

sin (x) - sin (2)

= sin (x) - sin (2)

人気の例

limit as x approaches 2 of x^2+4x-12

x \to 2 lim (x^{2} + 4 x - 12)

derivative of-(72/((x+2)^4))

\frac{d}{d x} (- \frac{72}{( x + 2 ) ^{4}})

derivative of e+ln(x)

\frac{d}{d x} (e + ln (x))

limit as x approaches 0 of 3-2^x

x \to 0 lim (3 - 2^{x})

inverselaplace ((2s+8))/(s^2+6s+25)

in v erse l a pl a ce \frac{( 2 s + 8 )}{s ^{2} + 6 s + 25}