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## Main Question or Discussion Point

My lecturer keeps simplifying trigonometric integrals in one line such as

[tex]\int^{2\pi}_{0}sin^{4}(t)dt=\frac{3\pi}{4}[/tex]

and writes pascals triangle next to it. Just wondering what's the link between them? I'm sure it's obvious and easy, I'd just like to have an fast way of dealing with these

[tex]\int^{2\pi}_{0}sin^{4}(t)dt=\frac{3\pi}{4}[/tex]

and writes pascals triangle next to it. Just wondering what's the link between them? I'm sure it's obvious and easy, I'd just like to have an fast way of dealing with these