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$\int\frac{\left(k+1\right)\cdot \left(k+1\right)+1}{2\left(2\left(k+1\right)+1\right)}dk$
Learn how to solve integral calculus problems step by step online. Integrate the function ((k+1)(k+1)+1)/(2(2(k+1)+1)). Find the integral. When multiplying two powers that have the same base (k+1), you can add the exponents. Expand. Divide k^2+2k+2 by 4k+6.