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Math Help - a question about integration

  1. #1
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    a question about integration

    if had the line integral..

    int [exp(x^2/x) + x^2]dx + [y^6/y^2) + (y^2/y^3)dy]

    from(1,1) to (4,2)

    Can I cancel like terms before integrating?? how would I proceed


    plus what does sin(2y-y) integrate to??
    is it -cos(y)??
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  2. #2
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    Quote Originally Posted by dankelly07 View Post
    if had the line integral..

    int [exp(x^2/x) + x^2]dx + [y^6/y^2) + (y^2/y^3)dy]

    from(1,1) to (4,2)

    Can I cancel like terms before integrating?? how would I proceed


    plus what does sin(2y-y) integrate to??
    is it -cos(y)??
    Yes, you may cancel out terms like so:

    \int_1^4 e^x + x^2 dx + \int_1^2 y^4 + \frac{1}{y} dy

    Also, if the function is:

    \sin(2y-y)

    It simplifies to:

    \sin(y)

    It's integral is:

    -\cos(y) just as you said
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