If \int {dz}/{(1+\sqrtx)^{2010}} = 2[1/{\alpha(1+\sqrtx)^\alpha}-1/{\beta(1+\sqrtx)\beta}] + c, Where c is constant of Integration and 𝛼, 𝛽 > 0, 𝑡ℎ𝑒𝑛 𝛼 − 𝛽 is?