SOMP.IntegrationByParts-Solutions History
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Integration by Parts - Solutions (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. $\int x\csc(2x) \;dx=-\frac{x\cot(2x)}{2}+\frac{1}{4}\ln|\sin(2x)|+c$\\
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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. $\int \arctan x \;dx=x\arctan x - \frac{1}{2}\ln(x^2+1)+c$