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Expand the integral $\int\left(x^2+3x-4\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
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$\frac{\int x^2dx+\int3xdx+\int-4dx}{x-4}\left(x+2\right)$
Learn how to solve problems step by step online. Find the integral (int(x^2+3x+-4)dx)/(x-4)(x+2). Expand the integral \int\left(x^2+3x-4\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral of a constant is equal to the constant times the integral's variable. The integral of a function times a constant (3) is equal to the constant times the integral of the function. 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.