Another Antiderivative issue

[dear2009]

Dear math Help participants,


For this problem

dy/dx = 5x^4 + 2 sin (2x), and y =2 when x = 0. Find y when x = 1.


I began the problem with 20x^3 - 2 cos (x)
but when I plug in the problem does not make sense
What did I do wrong?

 

[tkhunny]

#1, you should make up your mind what it is you are doing.

Why did the degree of the algebraic term decrease? Are you fidning an antiderivative or just a derivative? You seem to have gone the wrong direction on this term.

As for the trigonometric term, just give it another try. Don't lose the argument. Remember, you can ALWAYS find a derivative and see if you managed a correct anti-derivative.