(a) Evaluate : $\int_{0}^{1} (x \log x)^3 \, dx$. (b) Show that : $\t…

Question

(a) Evaluate : $\int_{0}^{1} (x \log x)^3 \, dx$.

(b) Show that : $\text{erf}_c(x) + \text{erf}_c(-x) = 2 \quad \forall \, x$.

(c) Find the perimeter of the curve : $r = a(1 + \sin \theta)$.

Related pages

• Gamma Function — topic
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