What is \int \frac { 16x - 15y } { 32} - 6 dx16x15y326dx?

1 Answer
May 4, 2018

x^2/4-(15xy)/32-6x+Cx2415xy326x+C

Explanation:

int_(16x-15y)/(32)-6 dx16x15y326dx

1/32132int_(16x-15y) dx(16x15y)dx-66int_1 dx1dx

1/212int_x dxxdx+((15y)/32-6)+(15y326)int_1 dx1dx

x^2/4+(-(15y)/32-6)x24+(15y326)int_1 dx1dx

x^2/4+(-(15y)/32-6)x+Cx24+(15y326)x+C

=x^2/4-(15xy)/32-6x+C=x2415xy326x+C