Final answer to the problem
$\frac{\left(\frac{5}{2}\right)^{3}\cdot 110^{141}}{3}- \frac{0^{3}\cdot 110^{141}}{3}$
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Step-by-step Solution
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- Integrate by partial fractions
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1
Take the constant $\frac{1}{110^{-141}}$ out of the integral
$\frac{1}{110^{-141}}\int_{0}^{\frac{5}{2}} x^2dx$
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$\frac{1}{110^{-141}}\int_{0}^{\frac{5}{2}} x^2dx$
Learn how to solve problems step by step online. Integrate the function (x^2)/(110^(-141)) from 0 to 5/2. Take the constant \frac{1}{110^{-141}} out of the integral. Since the exponent of the denominator is negative, we can bring it to the numerator and thus simplify. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 2. Multiplying the fraction by 110^{141}.
Final answer to the problem
$\frac{\left(\frac{5}{2}\right)^{3}\cdot 110^{141}}{3}- \frac{0^{3}\cdot 110^{141}}{3}$
