Final answer to the problem
$\left(9x+7\right)\ln\left|9x+7\right|-9x+C_1$
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Step-by-step Solution
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- Integrate by partial fractions
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1
The integral $\int\ln\left(9x+7\right)dx$ results in $\left(9x+7\right)\ln\left(9x+7\right)-\left(9x+7\right)$
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$\left(9x+7\right)\ln\left|9x+7\right|-\left(9x+7\right)$
Learn how to solve integral calculus problems step by step online. Solve the integral of logarithmic functions int(ln(9x+7))dx. The integral \int\ln\left(9x+7\right)dx results in \left(9x+7\right)\ln\left(9x+7\right)-\left(9x+7\right). Simplify the product -(9x+7). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C. We can combine and rename -7 and C_0 as other constant of integration.
Final answer to the problem
$\left(9x+7\right)\ln\left|9x+7\right|-9x+C_1$
