<prompt> Hlalosa mohopolo oa ho kopanya lipalo.nan  <response>: Instruction in English: Explain the concept of numerical integration. . Response in English: Numerical integration is a method used to approximate the value of definite integrals. It is often used when it is difficult or impossible to find an exact answer using traditional analytical methods of calculus. Instead, numerical integration techniques involve breaking the area under the curve of a function into a series of smaller shapes, such as rectangles or trapezoids, and adding up the areas of those shapes to approximate the overall integral. Common methods for numerical integration include the rectangle method, trapezoidal rule, and Simpsons rule. These approaches can provide good approximations, with the accuracy improving as the number of subintervals increases. While the results of numerical integration may not be exact, they can be very useful in many practical situations where an approximate answer is sufficient. . Response in Sesotho: Ho kopanya lipalo ke mokhoa o sebelisoang ho lekanya boleng ba likarolo tse hlakileng. Hangata e sebelisoa ha ho le thata kapa ho sa khonehe ho fumana karabo e nepahetseng ka mekhoa ea khale ea tlhahlobo ea lipalo. Ho e-na le hoo, mekhoa ea ho kopanya lipalo e kenyelletsa ho pshatla sebaka se ka tlasa mokokotlo oa tsebetso hore e be letoto la libopeho tse nyenyane, tse kang li-rectangles kapa trapezoid, le ho eketsa libaka tsa libopeho tseo ho bapisa kakaretso ea kakaretso. Mekhoa e tloaelehileng ea ho kopanya lipalo e kenyelletsa mokhoa oa khutlonnetsepa, molao oa trapezoidal, le molao oa Simpson. Mekhoa ena e ka fana ka likhakanyo tse ntle, ka ho nepahala ho ntlafala ha palo ea li-subintervals e ntse e eketseha. Le hoja liphello tsa ho kopanngoa ha lipalo li ka na tsa se ke tsa nepahala, li ka ba molemo haholo maemong a mangata a sebetsang moo karabo e lekanyelitsoeng e lekaneng. 