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

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}

n = 0 \sum \infty (\frac{x}{3})^{n}

\frac{\partial}{\partial x} (e^{3 x yz - 7})

n = 1 \sum \infty n (\frac{5}{3})^{n}

z^{i}

\frac{d}{d x} (x^{2} + 4 x + 3)

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