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Thread: 2 Annoying Integrals

  1. #1
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    2 Annoying Integrals

    Hello, the following two integrals have me ripping my hair out. Help please?

    Integral (4x*(sqrt(1-3x))dx)

    Integral (x(arcsin(pi/x))dx)

    Subtle hints don't work for me. I have tried all the usual tricks such as substitution/integration by parts. The only things I can think of are trig substitutions... help please!
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  2. #2
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    please?
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  3. #3
    Math Engineering Student
    Krizalid's Avatar
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    Don't bump.

    For the first integral, put $\displaystyle u^2=1-3x$ and remember from there you can isolate $\displaystyle x.$

    For the second one, integrate by parts, but, since you told us you're stuck, show what you've done.
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