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\int\frac{3}{\sqrt{5-9x^2}}dx

Integral of 3/((5-9x^2)^0.5)

Solutions

Formulas

Answer

$arcsin\left(\sqrt[3]{3}x\right)+C_0$

Step-by-step explanation

Problem

$\int\frac{3}{\sqrt{5-9x^2}}dx$
1

First, factor the terms inside the radical for an easier handling

$\int\frac{3}{\sqrt{9\left(\frac{5}{9}-x^2\right)}}dx$

Unlock this step-by-step solution!

Answer

$arcsin\left(\sqrt[3]{3}x\right)+C_0$

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$\int\frac{3}{\sqrt{5-9x^2}}dx$

Main topic:

Integration by trigonometric substitution

Used formulas:

5. See formulas

Time to solve it:

1.27 seconds

All topics:


Integration by trigonometric substitutionIntegral calculusProduct rulePower ruleExponent propertiesPower of a productPowers of powersFactorizationConstant ruleIntegrals of polynomial functions

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