The integral of -2x^2 with respect to x is given by the power rule of integration, which states that the integral of x^n dx is (1/(n+1))x^(n+1) + C, where C is the constant of integration.

Applying this rule to -2x^2 gives us:

∫-2x^2 dx = -2 * (1/(2+1))x^(2+1) + C
= -2/3 * x^3 + C

So, the correct answer is B. -2x^3/3 + C.

Question

The integral of -2x^2 with respect to x is given by the power rule of integration, which states that the integral of x^n dx is (1/(n+1))x^(n+1) + C, where C is the constant of integration.

Applying this rule to -2x^2 gives us:

∫-2x^2 dx = -2 * (1/(2+1))x^(2+1) + C
= -2/3 * x^3 + C

So, the correct answer is B. -2x^3/3 + C.

Knowee AI · Accepted Answer

The integral of -2x^2 with respect to x is given by the power rule of integration, which states that the integral of x^n dx is (1/(n+1))x^(n+1) + C, where C is the constant of integration.

Applying this rule to -2x^2 gives us:

∫-2x^2 dx = -2 * (1/(2+1))x^(2+1) + C
= -2/3 * x^3 + C

So, the correct answer is B. -2x^3/3 + C.

Evaluate∫−2x2dx∫−2𝑥2𝑑𝑥Select one:A.x33+C𝑥33+𝐶B.−2x33+C−2𝑥33+𝐶C.2x3+C2𝑥3+𝐶D.6x3+C

Question

Evaluate $\int -2x^2 \, dx$

Solution

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