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Popular >

integral from 0 to 4 of (3x-7)

Solution

\int_{0}^{4} (3 x - 7) d x

Solution

- 4

Solution steps

\int_{0}^{4} 3 x - 7 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{4} 3 x d x - \int_{0}^{4} 7 d x

\int_{0}^{4} 3 x d x = 24

\int_{0}^{4} 7 d x = 28

= 24 - 28

Simplify

= - 4

Popular Examples

integral from-1 to 4 of sqrt(2x+1)

\int_{- 1}^{4} 2 x + 1 d x

integral from 0 to 1 of e^{-x}x

\int_{0}^{1} e^{- x} x d x

integral from 0 to 1-x of (1-x-y)^2

\int_{0}^{1 - x} (1 - x - y)^{2} d y

integral from 1 to 6 of 5x^{-4}

\int_{1}^{6} 5 x^{- 4} d x

integral from 0 to pi of cos(φ)sin(φ)

\int_{0}^{π} cos (φ) sin (φ) d φ

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (3x-7) ?
The integral from 0 to 4 of (3x-7) is -4