Integrals with symbols

These are examples of integrals with symbols other than the variable integrated by Symtegration.

\(\int a \, dx = a x\)

\(\int \frac{a}{b} \, dx = \frac{a}{b} x\)

\(\int \mu x \, dx = \frac{1}{2} \mu x^{2}\)

\(\int \sin \left(a x\right) \, dx = -\frac{1}{a} \cos \left(a x\right)\)

\(\int e^{a} \sin x \, dx = -e^{a} \cos x\)

\(\int x \log \left(a x^{2}\right) \, dx = \frac{1}{2 a} \left(-a x^{2} + a x^{2} \log \left(a x^{2}\right)\right)\)

\(\int \left(\log \left(a + x\right) + \log \left(b x\right)\right) \, dx = -\left(a + x\right) + \left(a + x\right) \log \left(a + x\right) + \frac{1}{b} \left(-b x + b x \log \left(b x\right)\right)\)