Final answer to the problem
$-\frac{196}{3}x^{3}-100x^2-96x-20x^{5}-50x^{4}+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\left(-4-4x^2\right)\left(25x^2+50x+24\right)dx$
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$\int\left(-4-4x^2\right)\left(25x^2+50x+24\right)dx$
Learn how to solve problems step by step online. Find the integral of (-4-4x^2)(25x^2+50x+24). Find the integral. Rewrite the expression \left(-4-4x^2\right)\left(25x^2+50x+24\right) inside the integral in factored form. The integral of a function times a constant (-4) is equal to the constant times the integral of the function. Rewrite the integrand \left(1+x^2\right)\left(5x+6\right)\left(5x+4\right) in expanded form.
Final answer to the problem
$-\frac{196}{3}x^{3}-100x^2-96x-20x^{5}-50x^{4}+C_0$