Learn how to solve problems step by step online. Integrate the function 5x from 20 to 4. 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. The integral of a function times a constant (5) 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 -5\cdot \left(\frac{1}{2}\right)x^2.

Integrate the function 5x from 20 to 4