Q. 31 If 鈭�-23f(x)dx=4,鈭�-26f(x)dx=9... [FREE SOLUTION]

Chapter 4: Q. 31 (page 353)

If ${鈭�}_{- 2}^{3} f (x) d x = 4, {鈭�}_{- 2}^{6} f (x) d x = 9, {鈭�}_{- 2}^{3} g (x) d x = 2$ and ${鈭�}_{3}^{6} g (x) d x = 3$ ,then find the values of each definite integral in Exercises $29 - 40$ . If there is not enough information, explain why.
${鈭�}_{- 2}^{6} (f (x) + g (x)) d x$ .

Short Answer

Expert verified

If ${鈭�}_{- 2}^{3} f (x) d x = 4, {鈭�}_{- 2}^{6} f (x) d x = 9, {鈭�}_{- 2}^{3} g (x) d x = 2$ and ${鈭�}_{3}^{6} g (x) d x = 3$ , then the exact value of ${鈭�}_{- 2}^{6} (f (x) + g (x)) d x$ is, $14$ .

Step by step solution

Step 1. Given information

${鈭�}_{- 2}^{3} f (x) d x = 4, {鈭�}_{- 2}^{6} f (x) d x = 9, {鈭�}_{- 2}^{3} g (x) d x = 2, {鈭�}_{3}^{6} g (x) d x = 3$ .

${鈭�}_{- 2}^{6} (f (x) + g (x)) d x$ .

Step 2. The definite integral can be found out as,

${鈭�}_{- 2}^{6} (f (x) + g (x)) d x = {鈭�}_{- 2}^{6} f (x) d x + {鈭�}_{- 2}^{6} g (x) d x = 9 + {鈭�}_{- 2}^{3} g (x) d x + {鈭�}_{3}^{6} g (x) d x = 9 + 2 + 3 = 14$

Therefore, the required value is, $14$ .

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Short Answer

Step by step solution

Step 1. Given information

Step 2. The definite integral can be found out as,

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If 鈭�-23f(x)dx=4,鈭�-26f(x)dx=9,鈭�-23g(x)dx=2and 鈭�36g(x)dx=3,then find the values of each definite integral in Exercises 29-40. If there is not enough information, explain why.鈭�-26(f(x)+g(x))dx.

Short Answer

Step by step solution

Step 1. Given information

Step 2. The definite integral can be found out as,

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Theoretical and Mathematical Physics

Calculus

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.