Evaluate
\frac{3}{2}=1.5
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\int |x|\mathrm{d}x
Evaluate the indefinite integral first.
\frac{x|x|}{2}
Simplify.
\frac{1}{2}\times 2|2|-\frac{1}{2}|1|
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
\frac{3}{2}
Simplify.
Examples
Quadratic equation
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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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