Find the Antiderivative 2x

Problem

(∫_^)(2*x*d(x))

Solution

1. Identify the integral as a power rule problem, where the expression is of the form a*xn

2. Apply the power rule for integration, which states that (∫_^)(xn*d(x))=(x(n+1))/(n+1) for n≠−1

3. Substitute the values a=2 and n=1 into the rule.

4. Simplify the resulting expression by dividing the coefficient by the new exponent.

5. Add the constant of integration C to represent the family of all possible antiderivatives.

Final Answer

(∫_^)(2*x*d(x))=x2+C

Want more problems? Check here!