Final answer to the problem
$\frac{3^{3}\ln\left|3\right|}{3}- \frac{1^{3}\ln\left|1\right|}{3}-\frac{26}{9}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- Load more...
Can't find a method? Tell us so we can add it.
1
The trinomial $2x^2+1+x^4$ is a perfect square trinomial, because it's discriminant is equal to zero
$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve definite integrals problems step by step online.
$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve definite integrals problems step by step online. Integrate the function x^2ln(x)(2x^2+1x^4)^(1/2) from 1 to 3. The trinomial 2x^2+1+x^4 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Cancel exponents 2 and 1.
Final answer to the problem
$\frac{3^{3}\ln\left|3\right|}{3}- \frac{1^{3}\ln\left|1\right|}{3}-\frac{26}{9}$
Exact Numeric Answer
$6.998622$
