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Popular >

integral from-1 to 5 of-x^2+4x+5

Solution

\int_{- 1}^{5} - x^{2} + 4 x + 5 d x

Solution

36

Solution steps

\int_{- 1}^{5} - x^{2} + 4 x + 5 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} x^{2} d x + \int_{- 1}^{5} 4 x d x + \int_{- 1}^{5} 5 d x

\int_{- 1}^{5} x^{2} d x = 42

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

\int_{- 1}^{5} 5 d x = 30

= - 42 + 48 + 30

Simplify

= 36

Graph

Popular Examples

integral of (x^2)/(sqrt(x^6-7))

\int \frac{x ^{2}}{x ^{6} - 7} d x

d/(dy)(2x^3-x^2y)

\frac{d}{d y} (2 x^{3} - x^{2} y)

integral of 1/(x^2-12x+35)

\int \frac{1}{x ^{2} - 12 x + 35} d x

3 x^{^{'}} - 5 x = 12

(dy)/(dx)= 1/2 x+y-1

\frac{d y}{d x} = \frac{1}{2} x + y - 1

Frequently Asked Questions (FAQ)

What is the integral from-1 to 5 of-x^2+4x+5 ?
The integral from-1 to 5 of-x^2+4x+5 is 36