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Step-by-step Solution

Integral of 1/*4*x*(9x^2+25)^0.5

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Answer

$\frac{4}{27}\sqrt{\left(9x^2+25\right)^{3}}+C_0$

Step-by-step explanation

Problem to solve:

$\int1\frac{}{}\cdot 4\cdot x\sqrt{9x^2+25}dx$
1

Multiply $1$ times $4$

$\int\frac{}{}4x\sqrt{9x^2+25}dx$
2

Simplifying the fraction by $$

$\int4\sqrt{9x^2+25}xdx$

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Answer

$\frac{4}{27}\sqrt{\left(9x^2+25\right)^{3}}+C_0$
$\int1\frac{}{}\cdot 4\cdot x\sqrt{9x^2+25}dx$

Main topic:

Integration by substitution

Used formulas:

5. See formulas

Time to solve it:

~ 0.56 seconds