What is the integral of 2x dx?
Mathematics
ScanSolve AI Answer
Answer
The integral of 2x dx is x² + C.
Step-by-step solution
3 stepsSteps:
Apply the constant multiple rule
∫c * f(x) dx = c * ∫f(x) dx
∫2x dx = 2 * ∫x dxApply the power rule for integration
∫xⁿ dx = (xⁿ⁺¹)/(n+1) + C (where n ≠ -1)
For x, n = 1.
∫x dx = x¹⁺¹ / (1+1) + C = x² / 2 + CCombine the results
2 * (x² / 2) + C = x² + C
Was this helpful?
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.
Got a different question?Ask your own question
More Mathematics Questions
QSolve the integral integral (2x) dxQEvaluate the integral integral (2x)(2x)\,dxQIntegrate integral (2)/( x) dx
Browse by topic:Calculus