Final Answer
$-\frac{17}{3}w^{6}+\frac{15}{7}w^{7}+w^{5}+\frac{3}{2}w^{4}+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\left(2w+5w^2-3w^3\right)\left(3w^2-5w^3\right)dw$
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$\int\left(2w+5w^2-3w^3\right)\left(3w^2-5w^3\right)dw$
Learn how to solve problems step by step online. Find the integral of (2w+5w^2-3w^3)(3w^2-5w^3). Find the integral. Rewrite the expression \left(2w+5w^2-3w^3\right)\left(3w^2-5w^3\right) inside the integral in factored form. The integral of a function times a constant (-1) is equal to the constant times the integral of the function. Rewrite the integrand w^{3}\left(3w+1\right)\left(w-2\right)\left(3-5w\right) in expanded form.
Final Answer
$-\frac{17}{3}w^{6}+\frac{15}{7}w^{7}+w^{5}+\frac{3}{2}w^{4}+C_0$