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Popular >

integral from-4 to 1 of 3x+6

Solution

\int_{- 4}^{1} 3 x + 6 d x

Solution

\frac{15}{2}

+1

Decimal Notation

7.5

Solution steps

\int_{- 4}^{1} 3 x + 6 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_{- 4}^{1} 3 x d x + \int_{- 4}^{1} 6 d x

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

\int_{- 4}^{1} 6 d x = 30

= - \frac{45}{2} + 30

Simplify

- \frac{45}{2} + 30 : \frac{15}{2}

= \frac{15}{2}

Popular Examples

integral from 0 to 2npi of sin^6(x)

\int_{0}^{2 nπ} sin^{6} (x) d x

integral from-1 to 1 of y^2

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

integral from 0 to b of x

\int_{0}^{b} x d x

integral from 5 to 6 of 1/(x^2)

\int_{5}^{6} \frac{1}{x ^{2}} d x

integral from 4.6 to 7 of 12x^2-6x+4

\int_{4.6}^{7} 12 x^{2} - 6 x + 4 d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 1 of 3x+6 ?
The integral from-4 to 1 of 3x+6 is 15/2