Math  /  Calculus

QuestionConsider two functions ff and gg on [3,7][3,7] such that 37f(x)dx=13,37g(x)dx=6,47f(x)dx=5\int_{3}^{7} f(x) d x=13, \int_{3}^{7} g(x) d x=6, \int_{4}^{7} f(x) d x=5, and 34g(x)dx=4\int_{3}^{4} g(x) d x=4. Evaluate the following integrals. a. 342f(x)dx=16\int_{3}^{4} 2 f(x) d x=16 (Simplify your answer.) b. 37(f(x)g(x))dx=\int_{3}^{7}(f(x)-g(x)) d x=\square (Simplify your answer.)

Studdy Solution
a. 342f(x)dx=16\int_{3}^{4} 2f(x) \, dx = 16 b. 37(f(x)g(x))dx=7\int_{3}^{7} (f(x) - g(x)) \, dx = 7

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