AP Calculus—Integration Practice
dx. This involves a sum of two integrals: those of the form Z bx (x 2+a)m dxcan be computed via the substitution u= x2 + a2; those of the form Z c (x 2+a)m dxcan be handled by the appropriate trigonometric substitution (viz., x= atan ). From the above work, we may now finish our example. Z x+1 (x 2)(x2 +4) dx = 3 8 Z dx x 2 1 8 Z 3x 2 x2 +4 dx ...
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