Homework Help

dy/dx = 14x^2 + 3x, what is y in terms of x.

user profile pic

lxsptter | Student, Undergraduate | (Level 2) Valedictorian

Posted April 10, 2013 at 5:25 PM via web

dislike 1 like

dy/dx = 14x^2 + 3x, what is y in terms of x.

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 10, 2013 at 5:29 PM (Answer #1)

dislike 1 like

The derivative of y with respect to x, `dy/dx = 14x^2 + 3x`

`dy/dx = 14x^2 + 3x`

=> `dy = (14x^2 + 3x) dx`

take the integral of both the sides

=> `int dy = int (14x^2 + 3x) dx`

=> `y = 14*x^3/3 + 3x^2/2 + C`

Here, C is a constant; this is included as the derivative of a constant is always 0.

The expression for `y = 14*x^3/3 + 3x^2/2 + C`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes