Question

Let ??² f(x) dx = -2, ??³ f(x) dx = 13, ??² g(x) dx = 11, ??³ g(x) dx = 9, Use these values to evaluate the given definite integrals. a) ??² (f(x) + g(x)) dx = b) ??³ (f(x) - g(x)) dx = c) ??³ (3f(x) + 2g(x)) dx = d) Find the value a such that ??³ (af(x) + g(x)) dx = 0. a =

          Let
??² f(x) dx = -2, ??³ f(x) dx = 13, ??² g(x) dx = 11, ??³ g(x) dx = 9,
Use these values to evaluate the given definite integrals.
a) ??² (f(x) + g(x)) dx =
b) ??³ (f(x) - g(x)) dx =
c) ??³ (3f(x) + 2g(x)) dx =
d) Find the value a such that ??³ (af(x) + g(x)) dx = 0.
a =

Let
??² f(x) dx = -2, ??³ f(x) dx = 13, ??² g(x) dx = 11, ??³ g(x) dx = 9,
Use these values to evaluate the given definite integrals.
a) ??² (f(x) + g(x)) dx =
b) ??³ (f(x) - g(x)) dx =
c) ??³ (3f(x) + 2g(x)) dx =
d) Find the value a such that ??³ (af(x) + g(x)) dx = 0.
a =

Added by Ashley I.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

08/10/2023

Step 1

We can use the property of integrals that states the integral of a sum is the sum of the integrals. So, we have: (f(x) + g(x)) dx = f(x) dx + g(x) dx = -2 + 11 = 9 Show more…

Show all steps

Thanks for your feedback!

Let ∫₀² f(x) dx = -2, ∫₀³ f(x) dx = 13, ∫₀² g(x) dx = 11, ∫₂³ g(x) dx = 9, Use these values to evaluate the given definite integrals. a) ∫₀² (f(x) + g(x)) dx = b) ∫₀³ (f(x) - g(x)) dx = c) ∫₂³ (3f(x) + 2g(x)) dx = d) Find the value a such that ∫₀³ (af(x) + g(x)) dx = 0. a =