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\int 5xdx =
Question
\int 5x dx
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Evaluate the integral
\frac{5x^{2}}{2} + C, C \in \mathbb{R}
Evaluate
\int 5x dx
\text{Use the property of integral }\int kf(x) dx=k\int f(x) dx
5\times \int x dx
\text{Use the property of integral }\int x^{n} dx = \frac{x^{n+1}}{n+1}
5\times \frac{x^{1+1}}{1+1}
Simplify
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Evaluate
\frac{x^{1+1}}{1+1}
Add the numbers
\frac{x^{2}}{1+1}
Add the numbers
\frac{x^{2}}{2}
5\times \frac{x^{2}}{2}
Multiply the terms
\frac{5x^{2}}{2}
Solution
\frac{5x^{2}}{2} + C, C \in \mathbb{R}
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