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Все формулы
Формулы. Математика
Некоторые неберущиеся интегралы
\[ \int e^{\pm x^2} dx \]
\[ \int \sin x^2 dx \]
\[ \int \cos x^2 dx \]
\[ \int {\sin x \over x} dx \]
\[ \int {\cos x \over x} dx \]
\[ \int {dx \over \ln x} \]
\[ \int {e^x \over x} dx \]
\[ \int {e^x \over x^n} dx \]
\[ \int {\sin x \over x^n} dx \]
\[ \int {\cos x \over x^n} dx \]
\[ \int {dx \over \sqrt{(1-x^2)(1-k^2x^2)}} \]
\[ \int {x^2 dx \over \sqrt{(1-x^2)(1-k^2x^2)}} \]
\[ \int {dx \over \sqrt{1-k^2 \sin^2 x}} \]
\[ \int \sqrt{1-k^2 \sin^2 x}\,dx \]
\[ \int {xdx \over \sin x} \]
\[ \int {x^2 dx \over \sin x} \]
\[ \int {xdx \over \sin^3 x} \]
\[ \int {\sin^2 x \over x} dx \]
\[ \int {\cos^2 x \over x} dx \]
\[ \int {xdx \over \cos x} \]
\[ \int {xdx \over \cos^3 x} \]
\[ \int x\,\mathtt{tg}\,x\,dx \]
\[ \int {\mathtt{tg}\,x \over x} dx \]
\[ \int x\,\mathtt{ctg}\,x\,dx \]
\[ \int {\mathtt{ctg}\,x \over x} dx \]
\[ \int {\mathtt{arcsin}\,x \over x} dx \]
\[ \int {\mathtt{arccos}\,x \over x} dx \]
\[ \int {\mathtt{arctg}\,x \over x} dx \]
\[ \int {\mathtt{arcctg}\,x \over x} dx \]
\[ \int {e^x \over x^2} dx \]
\[ \int {xdx \over \ln x} \]
\[ \int {x^2 dx \over \ln x} \]
\[ \int {dx \over x^2\ln x} \]
\[ \int {\ln(ax+b) \over x} dx \]
\[ \int {\ln(x+\sqrt{x^2+1}) \over x} dx \]
\[ \int \ln \sin x\,dx \]
\[ \int \ln \cos x\,dx \]
\[ \int \ln \mathtt{tg}\,x\,dx \]
\[ \int e^x \ln x \, dx \]
\[ \int {\mathtt{sh}\,x \over x} dx \]
\[ \int {\mathtt{ch}\,x \over x} dx \]
\[ \int {\mathtt{sh}\,x \over x^2} dx \]
\[ \int {\mathtt{sh}^2\,x \over x} dx \]
\[ \int {x dx \over \mathtt{sh}\,x} \]
\[ \int {\mathtt{ch}^2\,x \over x} dx \]
\[ \int {x dx \over \mathtt{ch}\,x} \]
\[ \int e^{\pm x^2} dx \]
\[ \int \sin x^2 dx \]
\[ \int \cos x^2 dx \]
\[ \int {\sin x \over x} dx \]
\[ \int {\cos x \over x} dx \]
\[ \int {dx \over \ln x} \]
\[ \int {e^x \over x} dx \]
\[ \int {e^x \over x^n} dx, \quad n \in N \]
\[ \int {\sin x \over x^n} dx, \quad n \in N \]
\[ \int {\cos x \over x^n} dx, \quad n \in N \]
\[ \int {dx \over \sqrt{(1-x^2)(1-k^2x^2)}}, \quad 0 \lt k \lt 1 \]
\[ \int {x^2 dx \over \sqrt{(1-x^2)(1-k^2x^2)}}, \quad 0 \lt k \lt 1 \]
\[ \int {dx \over \sqrt{1-k^2 \sin^2 x}}, \quad 0 \lt k \lt 1 \]
\[ \int \sqrt{1-k^2 \sin^2 x}\,dx, \quad 0 \lt k \lt 1 \]
\[ \int {xdx \over \sin x} \]
\[ \int {x^2 dx \over \sin x} \]
\[ \int {xdx \over \sin^3 x} \]
\[ \int {\sin^2 x \over x} dx \]
\[ \int {\cos^2 x \over x} dx \]
\[ \int {xdx \over \cos x} \]
\[ \int {xdx \over \cos^3 x} \]
\[ \int x\,\mathtt{tg}\,x\,dx \]
\[ \int {\mathtt{tg}\,x \over x} dx \]
\[ \int x\,\mathtt{ctg}\,x\,dx \]
\[ \int {\mathtt{ctg}\,x \over x} dx \]
\[ \int {\mathtt{arcsin}\,x \over x} dx \]
\[ \int {\mathtt{arccos}\,x \over x} dx \]
\[ \int {\mathtt{arctg}\,x \over x} dx \]
\[ \int {\mathtt{arcctg}\,x \over x} dx \]
\[ \int {e^x \over x^2} dx \]
\[ \int {xdx \over \ln x} \]
\[ \int {x^2 dx \over \ln x} \]
\[ \int {dx \over x^2\ln x} \]
\[ \int {\ln(ax+b) \over x} dx, \quad a \neq 0 \]
\[ \int {\ln(x+\sqrt{x^2+1}) \over x} dx \]
\[ \int \ln \sin x\,dx \]
\[ \int \ln \cos x\,dx \]
\[ \int \ln \mathtt{tg}\,x\,dx \]
\[ \int e^x \ln x \, dx \]
\[ \int {\mathtt{sh}\,x \over x} dx \]
\[ \int {\mathtt{ch}\,x \over x} dx \]
\[ \int {\mathtt{sh}\,x \over x^2} dx \]
\[ \int {\mathtt{sh}^2\,x \over x} dx \]
\[ \int {x dx \over \mathtt{sh}\,x} \]
\[ \int {\mathtt{ch}^2\,x \over x} dx \]
\[ \int {x dx \over \mathtt{ch}\,x} \]
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