Final answer to the problem
$2\cdot \left(\frac{\left(1+1\right)^{3}}{3}- \frac{\left(0+1\right)^{3}}{3}\right)$
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
Combining like terms $\left(x+1\right)^2$ and $\left(x+1\right)^2$
Learn how to solve problems step by step online.
$\int_{0}^{1}2\left(x+1\right)^2dx$
Learn how to solve problems step by step online. Integrate the function (x+1)^2+(x+1)^2 from 0 to 1. Combining like terms \left(x+1\right)^2 and \left(x+1\right)^2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the formula: \int\left(x+a\right)^ndx=\frac{\left(x+a\right)^{\left(n+1\right)}}{n+1}+C, where a=1 and n=2. Simplify the expression.
Final answer to the problem
$2\cdot \left(\frac{\left(1+1\right)^{3}}{3}- \frac{\left(0+1\right)^{3}}{3}\right)$
Exact Numeric Answer
$4.666667$
