Question

Evaluate the definite integrals using properties of the definite integral and the fact that \begin{equation} \int_{-3}^{4} f(x) dx = -6, \int_{4}^{5} f(x) dx = 11, \text{ and } \int_{4}^{5} g(x) dx = 5. \end{equation} (a) $\int_{-3}^{4} 10f(x) dx$ = Number \newline (b) $\int_{-3}^{5} f(x) dx$ = Number \newline (c) $\int_{4}^{5} (f(x) - g(x)) dx$ = Number \newline (d) $\int_{4}^{5} (5f(x) + 6g(x)) dx$ = Number

          Evaluate the definite integrals using properties of the definite integral and the fact that \begin{equation*} \int_{-3}^{4} f(x) dx = -6, \int_{4}^{5} f(x) dx = 11, \text{ and } \int_{4}^{5} g(x) dx = 5. \end{equation*} (a) $\int_{-3}^{4} 10f(x) dx$ = Number \newline (b) $\int_{-3}^{5} f(x) dx$ = Number \newline (c) $\int_{4}^{5} (f(x) - g(x)) dx$ = Number \newline (d) $\int_{4}^{5} (5f(x) + 6g(x)) dx$ = Number

Evaluate the definite integrals using properties of the definite integral and the fact that
∫-3^4 f(x) dx = -6, ∫4^5 f(x) dx = 11, and ∫4^5 g(x) dx = 5.
(a) ∫-3^4 10f(x) dx = Number (b) ∫-3^5 f(x) dx = Number (c) ∫4^5 (f(x) - g(x)) dx = Number (d) ∫4^5 (5f(x) + 6g(x)) dx = Number

Added by Nicole M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Matthew Elliott

Step 1

Since we know that fxdx = 11, we can substitute this value into the equation: 10(11) = Number. Simplifying, we get 110 = Number. Show more…

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can the answer be clear so I can understand the answer and put the steps of how you did it please Evaluate the definite integrals using properties of the definite integral and the fact that fxdx= f()dx=11,and gxdx=5. (a) 10fxdx= Number (b) fxdx= Number (c) (f(x)-g(x))dx= Number (d) 5f(x+6gxdx= Number