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Step-by-step Solution

Integrate $4t^{\left(\frac{1}{3}\right)}+t\left(t^2+1\right)^3$ from $1$ to $2$

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Answer

$80.6845$

Step-by-step explanation

Problem to solve:

$\int_1^2\left[4t^{\left(1/3\right)}+t\left(t^2+1\right)^3\right]dt$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{1}^{2}4\sqrt[3]{t}dt+\int_{1}^{2} t\left(t^2+1\right)^3dt$
2

The integral of a constant by a function is equal to the constant multiplied by the integral of the function

$4\int_{1}^{2}\sqrt[3]{t}dt+\int_{1}^{2} t\left(t^2+1\right)^3dt$

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Answer

$80.6845$
$\int_1^2\left[4t^{\left(1/3\right)}+t\left(t^2+1\right)^3\right]dt$

Main topic:

Definite integrals

Related formulas:

4. See formulas

Time to solve it:

~ 0.12 seconds