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Popular >

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

Solution

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

Solution

\frac{11}{2}

+1

Decimal

5.5

Solution steps

\int_{1}^{2} 3 t^{2} - t 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_{1}^{2} 3 t^{2} d t - \int_{1}^{2} t d t

\int_{1}^{2} 3 t^{2} d t = 7

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

= 7 - \frac{3}{2}

Simplify

7 - \frac{3}{2} : \frac{11}{2}

= \frac{11}{2}

Graph

Popular Examples

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

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

integral from 2 to infinity of ue^{-u}

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

integral from 0 to 3 of 1/3 x^2

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

integral from 0 to 2 of (x^4)

\int_{0}^{2} (x^{4}) d x

integral from 0 to 4 of 1/((x-2)^3)

\int_{0}^{4} \frac{1}{( x - 2 ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (3t^2-t) ?
The integral from 1 to 2 of (3t^2-t) is 11/2