Exercise
$\int_1^9\left(\frac{1}{9}\right)\cdot x^1\cdot e^{-3}dx$
Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function 1/9x^1e^(-3) from 1 to 9. Any expression to the power of 1 is equal to that same expression. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. The integral of a constant times a function is equal to the constant multiplied by 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.
Integrate the function 1/9x^1e^(-3) from 1 to 9
Final answer to the exercise
$\frac{9}{2}\cdot e^{-3}-\frac{1}{18}\cdot e^{-3}$