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Math Help - Antiverivative check!

  1. #1
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    Antiverivative check!

    Get the anti-derivative of

    <br /> <br />
= 5x^3 - 6x + 7\sqrt[3]{x} - 8 + \frac{9}{\sqrt{x}} - \frac{10}{x} + \frac{11}{x^3}<br /> <br />

    is

    <br /> <br />
= \frac{5}{4}x^4 - 3x^2 + \frac{21}{4}x^\frac{4}{3} - 8x + 18x^\frac{1}{2} - 0 - \frac{11}{2}x^{-2} + C<br /> <br />

    correct??? thank u
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by jvignacio View Post
    Get the anti-derivative of

    <br /> <br />
= 5x^3 - 6x + 7\sqrt[3]{x} - 8 + \frac{9}{\sqrt{x}} - \frac{10}{x} + \frac{11}{x^3}<br /> <br />

    is

    <br /> <br />
= \frac{5}{4}x^4 - 3x^2 + \frac{21}{4}x^\frac{4}{3} - 8x + 18x^\frac{1}{2} - 0 - \frac{11}{2}x^{-2} + C<br /> <br />

    correct??? thank u
    That 0 should be ln actually.

    Otherwise it looks fine to me unless I missed something.

    <br /> <br />
= \frac{5}{4}x^4 - 3x^2 + \frac{21}{4}x^\frac{4}{3} - 8x + 18x^\frac{1}{2} - 10 \ln (x) - \frac{11}{2}x^{-2} + C<br /> <br />
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  3. #3
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    Quote Originally Posted by janvdl View Post
    That 0 should be ln actually.

    Otherwise it looks fine to me unless I missed something.

    <br /> <br />
= \frac{5}{4}x^4 - 3x^2 + \frac{21}{4}x^\frac{4}{3} - 8x + 18x^\frac{1}{2} - 10 \ln (x) - \frac{11}{2}x^{-2} + C<br /> <br />
    thanks mateeee!! dont know why it shud be 10ln(x) tho?
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