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Popular >

integral from 1 to 4 of (x/2)+1

Solution

\int_{1}^{4} (\frac{x}{2}) + 1 d x

Solution

\frac{27}{4}

+1

Decimal Notation

6.75

Solution steps

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

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

\int_{1}^{4} 1 d x = 3

= \frac{15}{4} + 3

Simplify

\frac{15}{4} + 3 : \frac{27}{4}

= \frac{27}{4}

Popular Examples

derivative of (8x-1^3(2x+1)^4)

\frac{d}{d x} ((8 x - 1)^{3} (2 x + 1)^{4})

integral of x*cos(ax)

\int x \cdot cos (a x) d x

tangent of (4x+3)/(x-1)(2.11)tangent of

\frac{4 x + 3}{x - 1} (2.11)

tangent of y=3x^2-3x+4 tangent of

y = 3 x^{2} - 3 x + 4

(dy)/(dx)=15+5y+3x+yx

\frac{d y}{d x} = 15 + 5 y + 3 x + y x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of (x/2)+1 ?
The integral from 1 to 4 of (x/2)+1 is 27/4