86761 The value of \(\int_{-\pi}^{\pi} \frac{\sin ^{2} x}{1+7^{x}} d x\) is equal to

86762 \(\int_{0}^{\pi / 2} \frac{d x}{1+\tan ^{3} x}\) is equal to

86763 \(\int_{0}^{\pi / 2} \frac{\sin 2 x}{1+2 \cos ^{2} x} d x\) is equal to

86705 The value of \(\int_{0}^{\sqrt{2}}\left[x^{2}\right] \mathrm{dx}\), where \([\cdot]\) is the greatest integer function, is

86761 The value of \(\int_{-\pi}^{\pi} \frac{\sin ^{2} x}{1+7^{x}} d x\) is equal to

86762 \(\int_{0}^{\pi / 2} \frac{d x}{1+\tan ^{3} x}\) is equal to

86763 \(\int_{0}^{\pi / 2} \frac{\sin 2 x}{1+2 \cos ^{2} x} d x\) is equal to

86705 The value of \(\int_{0}^{\sqrt{2}}\left[x^{2}\right] \mathrm{dx}\), where \([\cdot]\) is the greatest integer function, is

86761 The value of \(\int_{-\pi}^{\pi} \frac{\sin ^{2} x}{1+7^{x}} d x\) is equal to

86762 \(\int_{0}^{\pi / 2} \frac{d x}{1+\tan ^{3} x}\) is equal to

86763 \(\int_{0}^{\pi / 2} \frac{\sin 2 x}{1+2 \cos ^{2} x} d x\) is equal to

86705 The value of \(\int_{0}^{\sqrt{2}}\left[x^{2}\right] \mathrm{dx}\), where \([\cdot]\) is the greatest integer function, is

86761 The value of \(\int_{-\pi}^{\pi} \frac{\sin ^{2} x}{1+7^{x}} d x\) is equal to

86762 \(\int_{0}^{\pi / 2} \frac{d x}{1+\tan ^{3} x}\) is equal to

86763 \(\int_{0}^{\pi / 2} \frac{\sin 2 x}{1+2 \cos ^{2} x} d x\) is equal to

86705 The value of \(\int_{0}^{\sqrt{2}}\left[x^{2}\right] \mathrm{dx}\), where \([\cdot]\) is the greatest integer function, is