Evaluate
\frac{x+2}{x+5}
Differentiate w.r.t. x
\frac{3}{\left(x+5\right)^{2}}
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\int \frac{x+2}{x+5}\mathrm{d}x_{4}
Evaluate the indefinite integral first.
\frac{x+2}{x+5}x_{4}
Find the integral of \frac{x+2}{x+5} using the table of common integrals rule \int a\mathrm{d}x_{4}=ax_{4}.
\frac{\left(x+2\right)x_{4}}{x+5}
Simplify.
\left(x+2\right)\left(x+5\right)^{-1}\times 2-\left(x+2\right)\left(x+5\right)^{-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{x+2}{x+5}
Simplify.
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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