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Popular >

integral from 0 to 7 of 7-x

Solution

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

Solution

\frac{49}{2}

+1

Decimal Notation

24.5

Solution steps

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

\int_{0}^{7} 7 d x = 49

\int_{0}^{7} x d x = \frac{49}{2}

= 49 - \frac{49}{2}

Simplify

49 - \frac{49}{2} : \frac{49}{2}

= \frac{49}{2}

Popular Examples

integral of 1/(sqrt(x^2+2x+65))

\int \frac{1}{x ^{2} + 2 x + 65} d x

integral of 3x^2(x-2)(x+3)

\int 3 x^{2} (x - 2) (x + 3) d x

(1+x^2)(dy)/(dx)-(2xy+x^2+x^4)=0

(1 + x^{2}) \frac{d y}{d x} - (2 x y + x^{2} + x^{4}) = 0

(dx)/(dt)-2/(3t)x=4tx^{-5}

\frac{d x}{d t} - \frac{2}{3 t} x = 4 t x^{- 5}

derivative of x^2(e^x-1)

\frac{d}{d x} (x^{2} (e^{x} - 1))

Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of 7-x ?
The integral from 0 to 7 of 7-x is 49/2