Final answer to the problem
$\frac{9}{2}x^2+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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1
Calculate the power $3^2$
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$\int9xdx$
Learn how to solve integral calculus problems step by step online. Find the integral int(3^2x)dx. Calculate the power 3^2. The integral of a function times a constant (9) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Multiply the fraction and term in 9\cdot \left(\frac{1}{2}\right)x^2.
Final answer to the problem
$\frac{9}{2}x^2+C_0$
