SOMP.IntegrationByParts-Solutions History

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[[SOMP]]\\
[[SOMP/Calculus]]\\


'''[+Integration by Parts - Solutions+]''' ''([[SOMP/Integration by Parts]])''

Evaluate the following indefinite integrals:\\

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1. $\int x\csc(2x) \;dx=-\frac{x\cot(2x)}{2}+\frac{1}{4}\ln|\sin(2x)|+c$
to:
1. $\int x\csc(2x) \;dx=-\frac{x\cot(2x)}{2}+\frac{1}{4}\ln|\sin(2x)|+c$\\
Changed lines 2-3 from:
1. $\int \arctan x \;dx=x\arctan x - \frac{1}{2}\ln(x^2+1)+c$
to:
1. $\int x\csc(2x) \;dx=-\frac{x\cot(2x)}{2}+\frac{1}{4}\ln|\sin(2x)|+c$
2
. $\int \arctan x \;dx=x\arctan x - \frac{1}{2}\ln(x^2+1)+c$
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1. $\int \arctan x \;dx=x\arctan x - \frac{1}{2}\ln(x^2+1)+c$
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