Integration

Question 1

What is the integral of a function f?

Answer 1

A function that differentiates to f

Question 2

How is the integral of a function f notated?

Answer 2

∫f(x) dx

Question 3

For a function f(x)=axᵇ where a and b are constants and b≠-1, what is ∫f(x) dx?

Answer 3

(a/(b+1))xᵇ⁺¹+C

Question 4

What do all indefinite integrals contain?

Answer 4

The constant of integration, C

Question 5

Given the derivative f’ of a function f and the fact that f(a)=b where a and b are constants, how can f without the constant of integration be calculated?

Answer 5

By calculating the indefinite integral and setting b equal to the value that the integral gives for a, leaving C as the only unknown