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\[\large \int_0^{\infty } \left(\frac{\pi }{2}-\arctan (x) \right)^3 \, dx=\frac{3}{8} \left(\pi ^a \log (b)-c \zeta (d)\right)\]

The equation above holds true for ...

\[\large \int_{0}^{1} \int_{\arcsin{(y)}}^{\pi/2} \cos{(x)}e^{-\cos^2{(x)}} dx \ dy = \dfrac{a}{b} \left( 1-\dfrac{c}{e} \right)\]

Given that ...

Let \( \ x_0, x_1, x_2, \cdots \ \) be a sequence such that \(x_0 = 1\) and for \(n \geq 0\), \( \ x_{n+1} = \ln{(e^{x_n} - x_n)}\).

If ...

Hey Brilliantians ! Exams are nearing and the tension is growing. In such tensed situations I have come up with little bit to help you guys who are in need of ...

A box of mass \(M\) slides down a smooth ramp of mass \(2M\) in the shape of a half-circular cylinder (cut along the circle diameter). The ramp itself also slides ...

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