[latex]\int\frac{e^{1,5x^2}}{x^2}dx[/latex]

[latex]\int \frac{e^{\frac{3x^2}2}}{x^2}\,dx=-\int e^\frac{3x^2}2\,d\left(\frac1x\right)=-\dfrac{e^\frac{3x^2}2}{x}+\int\frac1x\,d(e^{\frac{3x^2}2}})=-\dfrac{e^{\frac{3x^2}2}}x+\\+3\int e^\frac{3x^2}2\,dx=-\dfrac{e^{\frac{3x^2}2}}x+3\sqrt{\frac23}\int e^{\frac{3x^2}2}\,d(x\sqrt\frac32)=-\dfrac{e^{\frac{3x^2}2}}x+\\+3\sqrt\frac23\frac{\sqrt\pi}2\,\mathrm{ erfi }\,(x\sqrt\frac32)=-\dfrac{e^{\frac{3x^2}2}}x+\sqrt{\frac{3\pi}2}\,\mathrm{ erfi }\,(x\sqrt\frac32)[/latex]   Константа интегрирования не видна, но она есть.