Exercise
$\int_2^0\left(\frac{x}{2}\right)dx$
Step-by-step Solution
Learn how to solve one-variable linear equations problems step by step online. Integrate the function x/2 from 2 to 0. Since the upper limit of the integral is less than the lower one, we can rewrite the limits by applying the inverse property of integration limits: If we invert the limits of an integral, it changes sign: \int_a^bf(x)dx=-\int_b^af(x)dx. Take the constant \frac{1}{2} out of the integral. Multiply the fraction and term in - \left(\frac{1}{2}\right)\int xdx. 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 x/2 from 2 to 0
Final answer to the exercise
$-1$