Suppose ₂∫⁴f(x)dx = -7​, ₂∫⁷f(x)dx = 7​, and ₂∫⁷g(x)dx = -6. Evaluate the following integrals.
₂∫⁷g(x)dx = ___
₂∫⁷7g(x)dx = ___
₂∫⁷[g(x)-f(x)] dx = ___
₂∫⁷[8g(x)-f(x)] dx = ___