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Popular >

integral from 1 to 4 of 3x+1

Solution

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

Solution

\frac{51}{2}

+1

Decimal Notation

25.5

Solution steps

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

\int_{1}^{4} 3 x d x = \frac{45}{2}

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

= \frac{45}{2} + 3

Simplify

\frac{45}{2} + 3 : \frac{51}{2}

= \frac{51}{2}

Popular Examples

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

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

integral from 5 to 7 of x^2+2x+2-18

\int_{5}^{7} x^{2} + 2 x + 2 - 18 d x

integral from-2 to 2 of (10x^9+25x^3)

\int_{- 2}^{2} (10 x^{9} + 25 x^{3}) d x

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

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

integral from 1 to y of 1/(y^2)

\int_{1}^{y} \frac{1}{y ^{2}} d y

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of 3x+1 ?
The integral from 1 to 4 of 3x+1 is 51/2