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The integral of a constant times a function is equal to the constant multiplied by the integral of the function
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$\int_{1}^{2} xdx\ln\left(t\right)$
Learn how to solve problems step by step online. Integrate the function xln(t) from 1 to 2. The integral of a constant times a function is equal to the constant multiplied by 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. Evaluate the definite integral. Simplify the expression inside the integral.