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Solving a definite integral usually has two main steps: [[integration]] and [[subtraction]].
 
Solving a definite integral usually has two main steps: [[integration]] and [[subtraction]].
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Sometimes approximations, such as the [[Riemann Integral]] or [[Simpson's rule]] are used. These approximations are used when:
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Sometimes approximations, such as the Riemann Integral or [[Simpson's rule]] are used. These approximations are used when:
 
*The exact answer is not needed, only a close approximation. (Common in [[Engineering]])
 
*The exact answer is not needed, only a close approximation. (Common in [[Engineering]])
 
*The rule for integration is very complex. (Such as <math>\int e^{x^2}\,dx</math>)
 
*The rule for integration is very complex. (Such as <math>\int e^{x^2}\,dx</math>)
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