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Popular >

integral from 0 to 1 of t^2+2

Solution

\int_{0}^{1} t^{2} + 2 d t

Solution

\frac{7}{3}

+1

Decimal Notation

2.33333 \dots

Solution steps

\int_{0}^{1} t^{2} + 2 d t

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} t^{2} d t + \int_{0}^{1} 2 d t

\int_{0}^{1} t^{2} d t = \frac{1}{3}

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

= \frac{1}{3} + 2

Simplify

\frac{1}{3} + 2 : \frac{7}{3}

= \frac{7}{3}

Popular Examples

integral from y to sqrt(y of)1

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

integral from 0 to 2 of 1/6 x

\int_{0}^{2} \frac{1}{6} x d x

integral from 1 to 4 of 1/6 (x-1)

\int_{1}^{4} \frac{1}{6} (x - 1) d x

integral from 25 to 40 of 1/15 x^2

\int_{25}^{40} \frac{1}{15} x^{2} d x

integral from-1 to 1 of (-1+2t^2)^3

\int_{- 1}^{1} (- 1 + 2 t^{2})^{3} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of t^2+2 ?
The integral from 0 to 1 of t^2+2 is 7/3