Final answer to the problem
$\frac{1}{24}\ln\left|\sqrt{4x^2+3}\right|+C_1$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Take the constant $\frac{1}{6}$ out of the integral
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$\frac{1}{6}\int\frac{x}{4x^2+3}dx$
Learn how to solve problems step by step online. Find the integral int(x/((4x^2+3)6))dx. Take the constant \frac{1}{6} out of the integral. First, factor the terms inside the radical by 4 for an easier handling. Taking the constant out of the radical. We can solve the integral \frac{1}{6}\int\frac{x}{4\left(x^2+\frac{3}{4}\right)}dx by applying integration method of trigonometric substitution using the substitution.
Final answer to the problem
$\frac{1}{24}\ln\left|\sqrt{4x^2+3}\right|+C_1$
