Final Answer
$2x^2+2x+C_0$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\int2\left(2x+1\right)dx$
Specify the solving method
1
The integral of a function times a constant ($2$) is equal to the constant times the integral of the function
$2\int\left(2x+1\right)dx$
Learn how to solve integral calculus problems step by step online.
$2\int\left(2x+1\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(2(2x+1))dx. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Expand the integral \int\left(2x+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral 2\int2xdx results in: 2x^2. The integral 2\int1dx results in: 2x.
Final Answer
$2x^2+2x+C_0$