Final answer:
The question involves solving an integral in mathematics, possibly using techniques like integration by parts or substitution. Integrals represent areas under curves, and different strategies like substitution can greatly simplify the process.
Step-by-step explanation:
The integral ∫ f(x) dx from x1 to x2 represents the area under the curve f(x) between these two points. Solving an integral can often involve techniques such as integration by parts, substitution, or transforming the integral using definite properties.
For example, if we have an integral of the form ∫ u²e-u² du, we might use integration by parts with u and e-u² being the parts. This technique usually involves choosing which function to differentiate and which to integrate, then applying the integration by parts formula ∫ u dv = uv - ∫ v du. Another common strategy is substitution, where we replace a variable with another expression to simplify the integral.