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- Integrate by partial fractions
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Apply properties of logarithms to expand and simplify the logarithmic expression $\ln\left(t^2\right)$ inside the integral
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$\int2\ln\left(t\right)dt$
Learn how to solve integral calculus problems step by step online. Solve the integral of logarithmic functions int(ln(t^2))dt. Apply properties of logarithms to expand and simplify the logarithmic expression \ln\left(t^2\right) inside the integral. The integral of a function times a constant (2) is equal to the constant times the integral of the function. The integral of the natural logarithm is given by the following formula, \displaystyle\int\ln(x)dx=x\ln(x)-x. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.