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Popular >

integral from 0 to 2 of 4-t^4

Solution

\int_{0}^{2} 4 - t^{4} d t

Solution

\frac{8}{5}

+1

Decimal Notation

1.6

Solution steps

\int_{0}^{2} 4 - t^{4} 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}^{2} 4 d t - \int_{0}^{2} t^{4} d t

\int_{0}^{2} 4 d t = 8

\int_{0}^{2} t^{4} d t = \frac{32}{5}

= 8 - \frac{32}{5}

Simplify

8 - \frac{32}{5} : \frac{8}{5}

= \frac{8}{5}

Popular Examples

integral from 1 to 11 of 9x^{-2}

\int_{1}^{11} 9 x^{- 2} d x

integral from 0 to 2 of (6x-6)(8x^2+9)

\int_{0}^{2} (6 x - 6) (8 x^{2} + 9) d x

integral from 0 to 2x of ye^{x^3}

\int_{0}^{2 x} y e^{x^{3}} d y

integral from 3 to x of t^7

\int_{3}^{x} t^{7} d t

integral from-3 to 1 of 5x^3-35x+30

\int_{- 3}^{1} 5 x^{3} - 35 x + 30 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 4-t^4 ?
The integral from 0 to 2 of 4-t^4 is 8/5