Answer:
To write an expression as a single definite integral, you need to find the limits of integration and combine the integrals into a single expression. Here's a step-by-step process:
Write out the expression you want to convert into a single definite integral.
Break down the expression into simpler integrals, if necessary, using integration rules and techniques.
Determine the limits of integration by setting the upper and lower bounds of the integral. This may require some algebraic manipulation or substitution to make the expression easier to integrate.
Combine the integrals and limits of integration into a single definite integral by using the following formula:
∫(lower limit to upper limit) f(x) dx = F(upper limit) - F(lower limit)
where F(x) is the antiderivative of f(x), and the limits of integration are the upper and lower bounds of the integral.
Simplify the expression as much as possible, if necessary.
It's important to note that not all expressions can be converted into a single definite integral, so you may need to use other techniques to solve certain problems.