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Exercise

$\int x^9e^{4x}dx$

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Final answer to the exercise

$\frac{1}{4}x^9e^{4x}-\frac{9}{16}x^{8}e^{4x}+\frac{9}{8}x^{7}e^{4x}-\frac{63}{32}x^{6}e^{4x}+\frac{189}{64}x^{5}e^{4x}-\frac{945}{256}x^{4}e^{4x}+\frac{945}{256}x^{3}e^{4x}-\frac{2835}{1024}x^{2}e^{4x}+\frac{2835}{2048}xe^{4x}-\frac{2835}{8192}e^{4x}+C_0$

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  • Integrate by partial fractions
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  • Integrate using basic integrals
  • Product of Binomials with Common Term
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