Evaluate
\frac{ex}{2}+С
Differentiate w.r.t. x
\frac{e}{2}
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\int \frac{e}{2}\mathrm{d}x
Cancel out \sqrt{x} in both numerator and denominator.
\frac{e}{2}x
Find the integral of \frac{e}{2} using the table of common integrals rule \int a\mathrm{d}x=ax.
\frac{ex}{2}
Simplify.
\frac{ex}{2}+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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Trigonometry
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Linear equation
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Arithmetic
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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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