Final Answer
$-\frac{151}{2}x^2+4\ln\left(x\right)+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(-151x+\frac{4}{x}\right)dx$
Specify the solving method
1
Expand the integral $\int\left(-151x+\frac{4}{x}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int-151xdx+\int\frac{4}{x}dx$
Learn how to solve integrals of polynomial functions problems step by step online.
$\int-151xdx+\int\frac{4}{x}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(-151x+4/x)dx. Expand the integral \int\left(-151x+\frac{4}{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int-151xdx results in: -\frac{151}{2}x^2. The integral \int\frac{4}{x}dx results in: 4\ln\left(x\right). Gather the results of all integrals.
Final Answer
$-\frac{151}{2}x^2+4\ln\left(x\right)+C_0$