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Math Help - differentiation and integration

  1. #1
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    differentiation and integration

    I am reallly confused with this question, it seems so easy, but i still don't know what it is
    the question is:

    if dy/dx= cos3x and y=1 when x=0, find y when x=pi/4. I know the answer is supposed to be negative sqrt 0.5 but how to get there is whats confusing me.

    Can someone please explain?

    Please and thank you
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  2. #2
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    Re: differentiation and integration

    Quote Originally Posted by supp View Post
    I am reallly confused with this question, it seems so easy, but i still don't know what it is
    the question is:

    if dy/dx= cos3x and y=1 when x=0, find y when x=pi/4. I know the answer is supposed to be negative sqrt 0.5 but how to get there is whats confusing me.

    Can someone please explain?

    Please and thank you
    y = \frac{\sin(3x)}{3} + C

    sub in the given values for x and y and solve for the constant of integration ... then evaluate the function at x = \frac{\pi}{4}
    Thanks from supp
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