Find $k$ value so the function is a pdf
(a) $kx^6(1-x)^4$, for $0 < x < 1, 0$ otherwise
beta distribution has this formula
$f(\alpha, \beta) = x^{\alpha-1}(1-x)^{\beta-1} = \frac{T(\alpha + \beta)}{T(\alpha)T(\beta)}$
Attempt
$\alpha = 7$
$\beta = 5$
Not sure how to apply this
Hint:
$$ \int_0^1 x^{\alpha-1}(1-x)^{\beta-1} = \frac{\Gamma(\alpha)\Gamma(\beta)}{\Gamma(\alpha+\beta)} = B(\alpha,\beta) $$