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Popular >

integral from 0 to 3 of 5x+1

Solution

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

Solution

\frac{51}{2}

+1

Decimal

25.5

Solution steps

\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

Simplify

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

= \frac{51}{2}

Graph

Popular Examples

integral from 0 to pi/4 of 1/(1+cos(2x))

\int_{0}^{\frac{π}{4}} \frac{1}{1 + cos ( 2 x )} d x

integral from 1 to 3 of pi(-x^2+4x-3)^2

\int_{1}^{3} π (- x^{2} + 4 x - 3)^{2} d x

integral from-32 to 32 of \sqrt[5]{x^8}

\int_{- 32}^{32} 5 x^{8} d x

integral from-1 to 1 of u^5

\int_{- 1}^{1} u^{5} d u

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

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

Frequently Asked Questions (FAQ)

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