Maths Help - Integration?

Can anyone solve me these Integration questions step-by-step:

Q1: Integrate (x^2)*(e^x*3)

Q2: Using Partial Fractions: Integrate (8x+3)/(x^2+x)

Please solve these fully step by step.

1 Answer

Relevance
  • 9 years ago

    Q1: integral{(x^2)[e^(x^3)]}dx

    Let u=x^3 then du=3x^2dx

    1/3*integral(e^u)du

    1/3e^u+C

    1/3e^(x^3)+C

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