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Popular >

integral from 5 to 1 of-4x+1

Solution

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

Solution

44

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{5} - 4 x + 1 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_{1}^{5} 4 x d x + \int_{1}^{5} 1 d x)

\int_{1}^{5} 4 x d x = 48

\int_{1}^{5} 1 d x = 4

= - (- 48 + 4)

Simplify

= 44

Popular Examples

sum from n=0 to infinity of-2-8-32-128

n = 0 \sum \infty - 2 - 8 - 32 - 128

derivative of cos(5t)derivative of

cos (5 t)

limit as x approaches 3 of (x^2+5)/(x+5)

x \to 3 lim (\frac{x ^{2} + 5}{x + 5})

derivative of ln(x^2-3x+1)

\frac{d}{d x} (ln (x^{2} - 3 x + 1))

tangent of y=x^2-1,(-3,8)tangent of

y = x^{2} - 1, (- 3, 8)

Frequently Asked Questions (FAQ)

What is the integral from 5 to 1 of-4x+1 ?
The integral from 5 to 1 of-4x+1 is 44