Final Answer
$\frac{1}{2}x^{3}+\frac{5}{2}x^2-4x+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\frac{3x^5+7x^4-12x^3+40x^2+24x-32}{2x^3-2x^2+4x+8}dx$
Learn how to solve polynomial long division problems step by step online.
$\int\frac{3x^5+7x^4-12x^3+40x^2+24x-32}{2x^3-2x^2+4x+8}dx$
Learn how to solve polynomial long division problems step by step online. Find the integral of (3x^5+7x^4-12x^340x^224x+-32)/(2x^3-2x^24x+8). Find the integral. Divide 3x^5+7x^4-12x^3+40x^2+24x-32 by 2x^3-2x^2+4x+8. Resulting polynomial. Expand the integral \int\left(\frac{3}{2}x^{2}+5x-4\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.
Final Answer
$\frac{1}{2}x^{3}+\frac{5}{2}x^2-4x+C_0$