| A challenging anti-derivative |
Find the following antiderivative:
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Problem Moderated by: MrT |
| Problem Solution |
Since we can't factor the denominator, we can't integrate by partial fractions in the form it currently is in. However, we can algebraically divide the integrand to get the following: x - x/(1 + x2). The integral of the first part is x2/2, while the integral of the second is simply (1/2)ln(1 + x2). The final result is then:
x2/2 - (1/2)ln(1 + x2) + C.
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