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  • Please Solve RD Sharma Class 12 Chapter 19 Definite Integrals Exercise 19.3 Question 14 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 19 Definite Integrals Exercise 19.3 Question 14 Maths Textbook Solution.

Answers (1)

best_answer

Answer:  \frac{15}{2}

Hint: Use negative value of x.

 

Given:

                \int_{1}^{4}|x-5| d x

Solution:

              \begin{aligned} I=\int_{1}^{4}|x-5| d x \\ \end{aligned}

              \left\{\begin{array}{l} x-5, x \geq 5 \\ -(x-5), x<5 \end{array}\right\}

              \begin{aligned} &I=\int_{1}^{4}(-x+5) d x \\ & \end{aligned}

              =\left(\frac{-x^{2}}{2}+5 x\right)_{1}^{4} \\

              =12-\frac{9}{2} \\

             =\frac{15}{2} 

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