Final answer to the problem
$-\frac{11}{2}y^2+C_0$
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Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Solve the integral of logarithmic functions int(ln(e^(-11y)))dy. Apply properties of logarithms to expand and simplify the logarithmic expression \ln\left(e^{-11y}\right) inside the integral. The integral of a function times a constant (-11) 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 -11\cdot \left(\frac{1}{2}\right)y^2.
Final answer to the problem
$-\frac{11}{2}y^2+C_0$
