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Step-by-step Solution

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

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Answer

$\frac{2}{\sqrt{2}}$

Step-by-step explanation

Problem to solve:

$\int_1^{1.5}\left(\sqrt{1+\left(4\cdot\left(0.5\right)^2\right)}\right)dx$
1

Calculate the power $0.5^2$

$\int_{1}^{1.5}\sqrt{1+4\cdot 0.25}dx$
2

Multiply $4$ times $\frac{1}{4}$

$\int_{1}^{1.5}\sqrt{1+1}dx$

Unlock this step-by-step solution!

Answer

$\frac{2}{\sqrt{2}}$
$\int_1^{1.5}\left(\sqrt{1+\left(4\cdot\left(0.5\right)^2\right)}\right)dx$

Main topic:

Definite integrals

Related formulas:

1. See formulas

Time to solve it:

~ 0.03 seconds