These are added power functions so the sum of the integrals is equal to the integral of the sum. Multipliers within the integral can be placed out side. Also, the formula for the anti-derivative of a power int (xn) is 11xn+1/(n+1) for n not equal to -1 (otherwise works for all real n)
It is easier to integrate 1/xn as x-n.
Our problem becomes:
2 Int(x-6dx) + 4Int(xdx) + Int(5dx)
2(x-5/5) +4x2/2 + 5x + C
Please consider a tutor.
