Question

exercises 1.2 the definite integral
score: 140/170 answered: 14/17
question 15
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if
\\(\int_{-5}^{4} h(v) dv = 17\\)
and
\\(\int_{0}^{4} h(v) dv = 10.3\\)
what does the following integral equal?
\\(\int_{-5}^{0} h(v) dv = \\)
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Explanation:

Step1: Split integral at 0

$\int_{-5}^{4} h(v)dv = \int_{-5}^{0} h(v)dv + \int_{0}^{4} h(v)dv$

Step2: Rearrange to solve for target

$\int_{-5}^{0} h(v)dv = \int_{-5}^{4} h(v)dv - \int_{0}^{4} h(v)dv$

Step3: Substitute given values

$\int_{-5}^{0} h(v)dv = 17 - 10.3$

Step4: Calculate the result

$\int_{-5}^{0} h(v)dv = 6.7$

Answer:

6.7