Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

$\int_{-5}^{5}|x+2|dx$?

Options:

34

31

29

25

Correct Answer:

29

Explanation:

$\int_{-5}^{5}|x+2|dx$=$\int_{-5}^{-2}-(x+2)dx$+$\int_{-2}^{5}(x+2)dx = -(\frac{x^2}{2}+ 2x)|_{-5}^{-2} + (\frac{x^2}{2}+2x)|_{-2}^5 = 29 $.