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Popular >

integral from 3 to 0 of (5x+1)

Solution

\int_{3}^{0} (5 x + 1) d x

Solution

- \frac{51}{2}

+1

Decimal Notation

- 25.5

Solution steps

\int_{3}^{0} 5 x + 1 d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{0}^{3} 5 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_{0}^{3} 5 x d x + \int_{0}^{3} 1 d x)

\int_{0}^{3} 5 x d x = \frac{45}{2}

\int_{0}^{3} 1 d x = 3

= - (\frac{45}{2} + 3)

Join

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

= - \frac{51}{2}

Popular Examples

integral from 0 to 6 of t

\int_{0}^{6} t d t

integral from-1 to 1 of e^y-(y^2-3)

\int_{- 1}^{1} e^{y} - (y^{2} - 3) d y

integral from 0 to pi of 1/(a+bx)

\int_{0}^{π} \frac{1}{a + b x} d x

integral from x to 5x of e^{3t}

\int_{x}^{5 x} e^{3 t} d t

integral from-pi/4 to pi/4 of cos^2(2θ)

\int_{- \frac{π}{4}}^{\frac{π}{4}} cos^{2} (2 θ) d θ

Frequently Asked Questions (FAQ)

What is the integral from 3 to 0 of (5x+1) ?
The integral from 3 to 0 of (5x+1) is -51/2