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

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gulnur3 | Student, Grade 10 | eNoter

Posted April 12, 2012 at 11:39 PM via web

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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

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rcmath | High School Teacher | (Level 1) Associate Educator

Posted April 13, 2012 at 1:49 AM (Answer #1)

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`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`

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