Definite Integral is one of the most important subjects in calculus. The use of integrals that must be studied is calculating the area and drawing curves based on the equation of functions. However, there are still many students have difficult to understand integral material, especially definite integral. Most students have difficult to understand Integral learning because they do not understand the basic and  material that needs to be mastered. The purpose of this study is to find a pattern of relationship to the understanding  the topic of integral material about calculation and drawing of integral curves using apriori algorithm. Apriori algorithms can be used to determine learning patterns and linkages between definite integral material. Apriori algorithms can be used to determine learning patterns and linkages between definite integral material. The results of this study indicate that understanding of the material is the topic of calculation with 1 functional equation and 2 functional equations, and the depiction of integral curves at X and Y coordinates with a confidence value of 96% and basic integral material such as understanding basic integral techniques, definite integral formulas, calculations and curve depiction on cartesian diagram coordinates X and Y  with a confidence value of 76%.

Recommendation systems are widely used in various fields of life to provide suggestions for a product, service, or piece of information to someone where there is an object to choose from. The recommendation system can also be applied in the field of education, especially in improving the quality of learning that occurs in schools. In this study, developing and implementing a recommendation system was used to determine the learning strategy applied in class. The system is very necessary in order to obtain effective and efficient learning in accordance with the desired learning style of students. In addition, learning that leads to students' desire to learn can make it easier for teachers to achieve predetermined learning goals. In this study, collaborative filtering techniques based on the Naive Bayes algorithm were used to determine the learning strategy. Before carrying out the recommendation process, datasets will be collected first, which are obtained from student responses through the questionnaires provided. This data will be used as training data to obtain recommendations on learning strategies that will be applied by the teacher in the classroom. After the training data is collected, the teacher will provide a response, and the results obtained will be used as testing data. From the results of implementing a recommendation system that has been built using the Naïve Bayes algorithm, the accuracy obtained is 90.91% in determining learning strategies that are appropriate to student learning styles.

<h1><span>Water is one of the natural resources that are needed by creatures on earth. And the need for clean water is increasing, so the price of water, both bottled water and the price of water from the PDAM. Therefore, it is necessary to have a design that can control water needs, such as the water level for filling the required containers, controlling the water level in the reservoir, etc. according to human needs so that no waste of water occurs. This research was conducted to design water level detection by combining hardware and software, namely ultrasonic sensors as detection, Arduino Uno microcontroller as a process, and fuzzy logic as an analysis of data delivered by ultrasonic sensors. So, this design can be utilized in various fields both industrial and home. This water level detection is designed using ultrasonic sensors as distance monitoring, servo motor, LED warning, and buzzer. Fuzzy logic is applied to the ability of a tool designed by determining the desired set point of water. Test results that have been carried out with Fuzzy Logic with 5 levels, are level 1 (0 – 6 cm), level 2 (6.1 – 12 cm), level 3 (12.1 cm – 18 cm), level 4 (18.1 cm – 24 cm), and level 5 (24.1 – 30 cm).</span></h1>

Food is a basic need that must be fulfilled and easily accessible to the entire community. After the end of the pandemic period, it still caused several sectors to decline, including the agricultural sector, which resulted in crop yields also declining. The problem faced by several regions in Indonesia, one of which is the North Sumatra region, is that the availability of food products has decreased and increased unstably due to the lack of information about the grouping food security every year. This results in the food needs of the people in each region being unfulfilled. The purpose of this study is to group areas with the number of increases and decreases in food crop yields in North Sumatra using the K-Medoids algorithm. The K-Medoids algorithm includes a deflection algorithm that is quite efficient in carrying out the shaking of small datasets and the search for the most representative points and can overcome outliers. So that it can be used in the floundering of the influence of productivity and the level of food security. The results showed that the application of the K-Medoids algorithm resulted in a DBI (Davies Bouldin Index) value of 0.062 and a Silhouette Coefficient value of 0.8980, with the number of clusters as many as 3 clusters where Cluster_0 dominated by corn food crops experienced an increase in production by 5% and peanuts by 5%, Cluster _1 was dominated by a decrease in the number of soybean production yields by 38%, and Cluster_2 dominated by a decrease in green bean yield by 33%.

The definite integral is one of the subjects that is difficult for students to understand because the process of calculating definite integral of functions is quite complicated and long because it requires mastery of some integrating rules so an interactive learning simulation application is needed to make it easier for students to calculate definite integral of functions and the depiction of the area the curve. One method for calculating definite integrals is the trapezoid method. The trapezoid method works by dividing the boundary into 2 intervals namely x = x0 to x = x1. Simulation media application learning will be designed with the VB.Net programming language. This simulation media learning starts with reading and checking data input. The process is continued by displaying the depiction of the input curve and ending with calculating the area of the curve. Simulation media learning provides a facility to store the input data, the results of the calculation of the area and the image of the curve function in the image format of * .bmp. In this media, the media and material expert’s the results of the average are produced by 88.68% included into media category is very valid media and the results of pre-test and post-test trials showed an increase with an average value of 48.3 for pre-test and 87 for the post-test of the passing grade requirement of 70.Keywords: Definite Integral, Trapezoid Method,VB.Net, Media Validation.