What is the integral from 0 to 4 of (3t^4+3t+2) ?

The integral from 0 to 4 of (3t^4+3t+2) is 3232/5

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integral from 0 to 4 of (3t^4+3t+2)

\int_{0}^{4} (3 t^{4} + 3 t + 2) d t

\frac{3232}{5}

Decimal Notation

646.4

Solution steps

\int_{0}^{4} 3 t^{4} + 3 t + 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}^{4} 3 t^{4} d t + \int_{0}^{4} 3 t d t + \int_{0}^{4} 2 d t

\int_{0}^{4} 3 t^{4} d t = \frac{3072}{5}

\int_{0}^{4} 3 t d t = 24

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

= \frac{3072}{5} + 24 + 8

Simplify

\frac{3072}{5} + 24 + 8 : \frac{3232}{5}

= \frac{3232}{5}

\frac{\partial}{\partial y} (2 x + 4 y)

f (x) = 2 x - 1

x \to \infty lim (e^{- x} - ln (x))

\int \frac{8 x ^{2} + x + 73}{( x + 1 ) ( x ^{2} + 9 )} d x

7 (x^{3} - x)^{4}

What is the integral from 0 to 4 of (3t^4+3t+2) ?
The integral from 0 to 4 of (3t^4+3t+2) is 3232/5