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The integral of a function times a constant ($2$) is equal to the constant times the integral of the function
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$2\int_{0}^{1}\frac{1}{1+2x^2+3x}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 2/(2x^2+3x+1) from 0 to 1. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Rewrite the expression \frac{1}{1+2x^2+3x} inside the integral in factored form. Rewrite the fraction \frac{1}{\left(x+1\right)\left(2x+1\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(x+1\right)\left(2x+1\right).