Evaluate
-\cos(x)+3x+С
Differentiate w.r.t. x
\sin(x)+3
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\int \sin(x)\mathrm{d}x+\int 3\mathrm{d}x
Integrate the sum term by term.
-\cos(x)+\int 3\mathrm{d}x
Use \int \sin(x)\mathrm{d}x=-\cos(x) from the table of common integrals to obtain the result.
-\cos(x)+3x
Find the integral of 3 using the table of common integrals rule \int a\mathrm{d}x=ax.
-\cos(x)+3x+С
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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