Evaluate and simpfly each integral, specify u and du(adsbygoogle = window.adsbygoogle || []).push({});

∫ e^(x/3)

∫ 6 / sqrt(9x²-5)

∫ cosh(x) / sinh(x)

∫ 4x²cos(2x)

∫ (x³+4x) / (x²-4)

∫ (2^ln(x²)) / (x) from [1,2] and for this one i need to give a simplified symbolic(non decimal) answer

on the first one, its simple and its confusing cause cause of the (x/3), should it be the same thing?

Second i choose 9X²-5 as u, so du = 18x dx

so 6∫u^-2 making it 3x³-5x + C

Third, i choose u as sinh(x) making du = cosh(x) so the answer is log|sinh(x)|

Fourth is it possible to use the tabular method?

I got 4x²-2sin(2x)-8x-4cos(2x)+8sin(2x)+c

Fifth i can use the du/sqrt(u²-a²) = ln(u+sqrt(u²-a²) +C

ln(x+sqrtx²-2²) + C

the sixth one i am confused was wondering if someone could indicate what i should use for u and help me through it

And in addition verify if the others i did are correct

Thanks in advance

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# Homework Help: Need help with a couple of integrals

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