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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 4 to 5 of (2+2y)^2

\int_{4}^{5} (2 + 2 y)^{2} d y

integral from 0 to pi of cos(2x)sin(nx)

\int_{0}^{π} cos (2 x) sin (n x) d x

integral from 1 to 5 of x/2

\int_{1}^{5} \frac{x}{2} d x

integral from 1 to 2 of-x+2

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

integral from 3 to infinity of 2e^{-2x}

\int_{3}^{\infty} 2 e^{- 2 x} d x

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