Evaluate
-y\cos(x)+Сy+С_{1}
Differentiate w.r.t. x
y\sin(x)
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\int \sin(x)\mathrm{d}xy
Find the integral of \int \sin(x)\mathrm{d}x using the table of common integrals rule \int a\mathrm{d}y=ay.
\left(-\cos(x)+С\right)y
Simplify.
\left(-\cos(x)+С\right)y+С
If F\left(y\right) is an antiderivative of f\left(y\right), then the set of all antiderivatives of f\left(y\right) is given by F\left(y\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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