86458 \(\int_{0}^{\pi / 2} \frac{\sin x-\cos x}{1+\sin x \cdot \cos x} d x\) is equal to

86459 \(\int_{0}^{\frac{3 \pi}{2}} \sin \left[\frac{2 x}{\pi}\right] \mathrm{dx}\), where [.] denotes the greatest integer function, is equal to

86461 The value of \(\int_{\sqrt{\ln 2}}^{\sqrt{\ln 3}} \frac{x \sin x^{2}}{\sin x^{2}+\sin \left(\ln 6-x^{2}\right)} d x\) is

86407 \(\int_{0}^{\infty} \frac{\mathrm{dx}}{1+\mathrm{e}^{\mathrm{x}}}\) equals

86458 \(\int_{0}^{\pi / 2} \frac{\sin x-\cos x}{1+\sin x \cdot \cos x} d x\) is equal to

86459 \(\int_{0}^{\frac{3 \pi}{2}} \sin \left[\frac{2 x}{\pi}\right] \mathrm{dx}\), where [.] denotes the greatest integer function, is equal to

86461 The value of \(\int_{\sqrt{\ln 2}}^{\sqrt{\ln 3}} \frac{x \sin x^{2}}{\sin x^{2}+\sin \left(\ln 6-x^{2}\right)} d x\) is

86407 \(\int_{0}^{\infty} \frac{\mathrm{dx}}{1+\mathrm{e}^{\mathrm{x}}}\) equals

86458 \(\int_{0}^{\pi / 2} \frac{\sin x-\cos x}{1+\sin x \cdot \cos x} d x\) is equal to

86459 \(\int_{0}^{\frac{3 \pi}{2}} \sin \left[\frac{2 x}{\pi}\right] \mathrm{dx}\), where [.] denotes the greatest integer function, is equal to

86461 The value of \(\int_{\sqrt{\ln 2}}^{\sqrt{\ln 3}} \frac{x \sin x^{2}}{\sin x^{2}+\sin \left(\ln 6-x^{2}\right)} d x\) is

86407 \(\int_{0}^{\infty} \frac{\mathrm{dx}}{1+\mathrm{e}^{\mathrm{x}}}\) equals

86458 \(\int_{0}^{\pi / 2} \frac{\sin x-\cos x}{1+\sin x \cdot \cos x} d x\) is equal to

86459 \(\int_{0}^{\frac{3 \pi}{2}} \sin \left[\frac{2 x}{\pi}\right] \mathrm{dx}\), where [.] denotes the greatest integer function, is equal to

86461 The value of \(\int_{\sqrt{\ln 2}}^{\sqrt{\ln 3}} \frac{x \sin x^{2}}{\sin x^{2}+\sin \left(\ln 6-x^{2}\right)} d x\) is

86407 \(\int_{0}^{\infty} \frac{\mathrm{dx}}{1+\mathrm{e}^{\mathrm{x}}}\) equals