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Given that f(7)=1 and f(5)=8 find ∫_5^7 f'(x) dx

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Wize University Calculus 1 Textbook > Integrals

The Fundamental Theorem of Calculus - Part 2

6 Activities

Given that f(7)=1  and  f(5)=8f\left(7\right)=1\ \ and\ \ f\left(5\right)=8

find ∫57f′(x) dx\displaystyle \int_{5}^{7} f'(x)\space dx
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Given that bothf(x)f\left(x\right) andf′(x)f'\left(x\right) are continuous everywhere, iff(1)=10f\left(1\right)=10and ∫−31f′(x)dx=12\int_{-3}^1f'\left(x\right)dx=12, find f(−3)f\left(-3\right).
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Given that bothf(x)f\left(x\right) andf′(x)f'\left(x\right) are continuous everywhere, iff(1)=10f\left(1\right)=10 and ∫−31f′(x)dx=12\displaystyle \int_{-3}^1f'\left(x\right)dx=12, find f(−3)f\left(-3\right).
Practice: Property of Definite Integral
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Given that bothf(x)f\left(x\right) andf′(x)f'\left(x\right) are continuous everywhere, iff(1)=10f\left(1\right)=10and ∫−31f′(x)dx=12\int_{-3}^1f'\left(x\right)dx=12, find f(−3)f\left(-3\right).