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Step-by-step Solution

Integrate $x^2+1$ from $0$ to $1$

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asin
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asinh
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Answer

$1.3333$

Step-by-step explanation

Problem to solve:

$\int_{0}^{1}\left(x^2+1\right)dx$
1

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

$\int_{0}^{1} x^2dx+\int_{0}^{1}1dx$
2

The integral of a constant is equal to the constant times the integral's variable

$\int_{0}^{1} x^2dx+\left[x\right]_{0}^{1}$

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Answer

$1.3333$
$\int_{0}^{1}\left(x^2+1\right)dx$

Main topic:

Definite integrals

Used formulas:

2. See formulas

Time to solve it:

~ 0.78 seconds