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Step-by-step Solution

Integrate $\frac{4x}{\sqrt{2x^2}-1}$ from $1$ to $2$

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e
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ln
log
log
lim
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sin
cos
tan
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csc

asin
acos
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sinh
cosh
tanh
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sech
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asinh
acosh
atanh
acoth
asech
acsch

Answer

$5.7981$

Step-by-step explanation

Problem to solve:

$\int_1^2\left(\frac{4x}{\sqrt{2x^2}-1}\right)dx$
1

The power of a product is equal to the product of it's factors raised to the same power

$\int_{1}^{2}\frac{4x}{\sqrt{2}x-1}dx$
2

Taking the constant out of the integral

$4\int_{1}^{2}\frac{x}{\sqrt{2}x-1}dx$

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Answer

$5.7981$