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人気のある微分積分 >

(dx)/(dt)=sin(2pi(t+3))

解

\frac{d x}{d t} = sin (2 π (t + 3))

解

x = - \frac{1}{2 π} cos (2 π (t + 3)) + c_{1}

解答ステップ

\frac{d x}{d t} = sin (2 π (t + 3))

代用

\frac{d x}{d t}

と

x^{'} (t)

x^{^{'}} (t) = sin (2 π (t + 3))

f^{^{'}} (x) = g (x)

であれば

f (x) = \int g (x) d x

x = \int sin (2 π (t + 3)) d t

\int sin (2 π (t + 3)) d t = - \frac{1}{2 π} cos (2 π (t + 3)) + c_{1}

x = - \frac{1}{2 π} cos (2 π (t + 3)) + c_{1}

グラフ

人気の例

inverselaplace 1

in v erse l a pl a ce 1

integral of (\sqrt[5]{17}-(x^3)/7)^5x^2

\int (517 - \frac{x ^{3}}{7})^{5} x^{2} d x

sum from n=3 to infinity of 1/3 (2/5)^n

n = 3 \sum \infty \frac{1}{3} (\frac{2}{5})^{n}

integral of 1/(5^{4x)}

\int \frac{1}{5 ^{4 x}} d x

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\frac{d}{d x} (\frac{3 cos ( x )}{3 x ^{2} + 3 x - 1})