MathCastle
CalculusMediumNon-Elementary Integration

Non-Elementary Integration · Medium problem

Using B(a,b)=∫01xa−1(1−x)b−1dx=Γ(a)Γ(b)Γ(a+b)B(a,b)=\displaystyle\int_0^1x^{a-1}(1-x)^{b-1}dx=\dfrac{\Gamma(a)\Gamma(b)}{\Gamma(a+b)}, evaluate ∫01x3(1−x)4 dx\displaystyle\int_0^1x^3(1-x)^4\,dx.