Calculate the Definite Integral

MathematicsDefinite IntegralEasyYKS

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$$\int_{-3}^{2} (x+2) dx = ?$$

This question includes visual content: The image contains a mathematical expression for a definite integral: the integral symbol with a lower limit of -3 and an upper limit of 2, the operand (x+2), and the differential dx, equating to a question mark.

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1
Step 1

Selam Halime, bu belirli integral sorusunu birlikte adım adım çözelim.

Belirli İntegral Hesabı

2
Step 2

İntegralimiz eksi üçten ikiye kadar x artı iki d x şeklinde verilmiş.

$$\int_{-3}^2 (x+2) dx$$
3
Step 3

İntegrali hesaplamak için önce x artı iki ifadesinin belirsiz integralini alalım. İksin integrali x kare bölü iki, ikinin integrali ise iki ikstir.

4
Step 4

Şimdi sınır değerlerini yerlerine yazacağız. Önce üst sınır olan iki değerini yazalım.

5
Step 5

İlk parantezin içini sadeleştirelim. İkinin karesi dört, ikiye bölersek iki eder. Yanına da iki çarpı ikiden dört ekliyoruz.

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About This Question

Subject
Mathematics
Topic
Definite Integral
Difficulty
Easy
Exam
YKS
Question Type
Open Ended

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