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Popular >

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

Solution

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

Solution

\frac{5}{4}

+1

Decimal Notation

1.25

Solution steps

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

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

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

= 1 + \frac{1}{4}

Simplify

1 + \frac{1}{4} : \frac{5}{4}

= \frac{5}{4}

Popular Examples

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (1+x^3) ?
The integral from 0 to 1 of (1+x^3) is 5/4