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Popular >

integral from 0 to 1 of 4x^3-2x+6

Solution

\int_{0}^{1} 4 x^{3} - 2 x + 6 d x

Solution

6

Solution steps

\int_{0}^{1} 4 x^{3} - 2 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_{0}^{1} 4 x^{3} d x - \int_{0}^{1} 2 x d x + \int_{0}^{1} 6 d x

\int_{0}^{1} 4 x^{3} d x = 1

\int_{0}^{1} 2 x d x = 1

\int_{0}^{1} 6 d x = 6

= 1 - 1 + 6

Simplify

= 6

Graph

Popular Examples

integral from 1 to 6 of sqrt(5x-5)

\int_{1}^{6} 5 x - 5 d x

integral from-2 to 2 of 6sqrt(4-x^2)

\int_{- 2}^{2} 6 4 - x^{2} d x

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

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

integral from 2 to 3 of r^{-3}

\int_{2}^{3} r^{- 3} d r

integral from 1 to x of (1-t)

\int_{1}^{x} (1 - t) d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 4x^3-2x+6 ?
The integral from 0 to 1 of 4x^3-2x+6 is 6