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- Integrate by partial fractions
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Simplify the expression
Learn how to solve integrals involving logarithmic functions problems step by step online.
$\int4xdx$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int(ln(e^(4x))-ln(1))dx. Simplify the expression. The integral of a function times a constant (4) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Multiply the fraction and term in 4\cdot \left(\frac{1}{2}\right)x^2.