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Popular Calculus >

integral from 0 to 2 of x^3+1

Solution

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

Solution

6

Solution steps

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

\int_{0}^{2} x^{3} d x = 4

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

= 4 + 2

Simplify

= 6

Graph

Popular Examples

integral from 0 to 2 of (x^2+2x)

\int_{0}^{2} (x^{2} + 2 x) d x

integral from 1 to 4 of 4x

\int_{1}^{4} 4 x d x

integral from 1 to 6 of xsqrt(x+3)

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

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

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

integral from 0 to t of f(t)

\int_{0}^{t} f (t) d t

Frequently Asked Questions (FAQ)

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