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Math Help - an integral problem

  1. #1
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    an integral problem

    hi. i have a question which is the thomas calculus at chapter 5 additional exercises. can you help me i could not solve it ;

    find f(pi/2) if the area under the curve y=f(x) from x=0 to x=a is ;

    ((a^2)/2) + (a*sin(a))/2 + (pi*cos(a))/2 ;

    how should i think in order to solve this. please help me...
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by oahsen View Post
    hi. i have a question which is the thomas calculus at chapter 5 additional exercises. can you help me i could not solve it ;

    find f(pi/2) if the area under the curve y=f(x) from x=0 to x=a is ;

    ((a^2)/2) + (a*sin(a))/2 + (pi*cos(a))/2 ;

    how should i think in order to solve this. please help me...
    Fundamental theorem of calculus:

    <br />
f(x)=\frac{d}{dx}\int_0^x f(\zeta) d \zeta<br />

    so:

    <br />
f(x)=\frac{d}{dx}\ [x^2/2 + x\ \sin(x)/2 + \pi\ \cos(x)/2]<br />

    RonL
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  3. #3
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    i understood thanks a lot
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