Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.Find f. (Use C for the constant of the first antiderivative and D for the constant of the...

Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.

Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)

f ''(x) = 6x + sin x

Expert Answers
rcmath eNotes educator| Certified Educator

`f''(x)=6x+sinx=>`

`f'(x)=int(6x+sinx)dx=(6x^2)/2+(-cosx)+C=>`

`f'(x)=3x^2-cosx+C`

`f(x)=int(3x^2-cosx+C)dx=(3x^3)/3-sinx+Cx+D=>`

`f(x)=x^3-sinx+Cx+D`