Final answer to the problem
$25x\ln\left|x\right|-25x+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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1
Calculate the power $5^2$
$\int25\ln\left(x\right)dx$
Learn how to solve integrals involving logarithmic functions problems step by step online.
$\int25\ln\left(x\right)dx$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int(5^2ln(x))dx. Calculate the power 5^2. The integral of a function times a constant (25) 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.
Final answer to the problem
$25x\ln\left|x\right|-25x+C_0$
