Final Answer
Step-by-step Solution
Specify the solving method
Simplify the expression inside the integral
Learn how to solve integral calculus problems step by step online.
$\frac{\int_{-1}^{2}\left(2+x\right)^2dx+\int_{-1}^{2}-x^{4}dx}{2}$
Learn how to solve integral calculus problems step by step online. Find the integral (int((2+x)^2-x^2^2)dx&-1&21)/2. Simplify the expression inside the integral. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 4. Apply the formula: \int\left(x+a\right)^ndx=\frac{\left(x+a\right)^{\left(n+1\right)}}{n+1}+C, where a=2 and n=2.