Questions: Calculate the definite integral by referring to the figure with the indicated areas. ∫c0 f(x) dx Area A = 1.379 Area C = 5.669 Area B = 2.322 Area D = 1.716 ∫c0 f(x) dx = 3.01

Calculate the definite integral by referring to the figure with the indicated areas. ∫c0 f(x) dx Area A = 1.379 Area C = 5.669 Area B = 2.322 Area D = 1.716 ∫c0 f(x) dx = 3.01
Transcript text: Calculate the definite integral by referring to the figure with the indicated areas. \[ \int_{c}^{0} f(x) d x \] Area A $=1.379$ Area C $=5.669$ Area $B=2.322$ Area $D=1.716$ \[ \int_{c}^{0} f(x) d x=3.01 \]
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Solution

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Solution Steps

To calculate the definite integral \(\int_{c}^{0} f(x) dx\), we need to use the given areas and the provided integral value. The integral value is already given as 3.01, so no further calculation is needed.

Step 1: Given Areas and Integral Value

We are given the following areas:

  • Area \(A = 1.379\)
  • Area \(B = 2.322\)
  • Area \(C = 5.669\)
  • Area \(D = 1.716\)

Additionally, we are provided with the value of the definite integral: \[ \int_{c}^{0} f(x) \, dx = 3.01 \]

Step 2: Confirm the Integral Value

The value of the definite integral \(\int_{c}^{0} f(x) \, dx\) is already given as 3.01. Therefore, no further calculations are necessary.

Final Answer

\[ \boxed{\int_{c}^{0} f(x) \, dx = 3.01} \]

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