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Step-by-step Solution

Integrate $7-3x$ from $-1$ to $2$

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Answer

$9.5$

Step-by-step explanation

Problem to solve:

$\int_{-1}^{2}\left(7-3x\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{-1}^{2}7dx+\int_{-1}^{2}-3xdx$
2

The integral of a constant is equal to the constant times the integral's variable

$\left[7x\right]_{-1}^{2}+\int_{-1}^{2}-3xdx$

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Answer

$9.5$
$\int_{-1}^{2}\left(7-3x\right)dx$

Main topic:

Definite integrals

Used formulas:

2. See formulas

Time to solve it:

~ 0.77 seconds

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