Home > Calculus > Integrals of Polynomial functions

How do you integrate #int (5-x)dx#?

Answer 1

Ezekiel Alexander

#5x-x^2/2 + C#

For integrals, use the power rule.

#5x-x^2/2 + C#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Emilia Aguilar

To integrate ( \int (5-x) , dx ), you can apply the power rule of integration, which states that the integral of ( x^n ) with respect to ( x ) is ( \frac{x^{n+1}}{n+1} + C ), where ( C ) is the constant of integration.

So, integrating ( (5-x) ) with respect to ( x ) yields:

[ \int (5-x) , dx = 5x - \frac{x^2}{2} + C ]

where ( C ) is the constant of integration.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.