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Popular >

integral from-2 to 1 of (x^3+5)

Solution

\int_{- 2}^{1} (x^{3} + 5) d x

Solution

\frac{45}{4}

+1

Decimal Notation

11.25

Solution steps

\int_{- 2}^{1} x^{3} + 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_{- 2}^{1} x^{3} d x + \int_{- 2}^{1} 5 d x

\int_{- 2}^{1} x^{3} d x = - \frac{15}{4}

\int_{- 2}^{1} 5 d x = 15

= - \frac{15}{4} + 15

Simplify

- \frac{15}{4} + 15 : \frac{45}{4}

= \frac{45}{4}

Popular Examples

derivative of y=x^3+1/(12x)derivative of

y = x^{3} + \frac{1}{12 x}

area y=x,2xsqrt(64-x^2)area

y = x, 2 x 64 - x^{2}

d/(dy)(cosh(y))

\frac{d}{d y} (cosh (y))

area y= 3/x ,y= 1/12 x,y=12x area

y = \frac{3}{x}, y = \frac{1}{12} x, y = 12 x

derivative of (x-4)/(-x^2+4)derivative of

\frac{x - 4}{- x ^{2} + 4}

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (x^3+5) ?
The integral from-2 to 1 of (x^3+5) is 45/4