Apentix/AP Calculus AB/Unit 6: Integration and Accumulation of Change/Question
AP Calculus ABeasymcq1 pt

Which of the following is the most general antiderivative of 3x2+2x3x^2+2x?

A.x3+x2+Cx^3+x^2+C
B.x3+x2x^3+x^2
C.x3+2x2+Cx^3+2x^2+C
D.6x+2+C6x+2+C

Explanation

Core Concept

Integrate term by term: ∫3x2 dx=x3\int 3x^2\,dx=x^3 and ∫2x dx=x2\int 2x\,dx=x^2. Adding the constant gives x3+x2+Cx^3+x^2+C.

Correct Answer

Ax3+x2+Cx^3+x^2+C

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