Find the indefinite integral and check the result by differentiation. (Remember the constant of integration.)33 − 4x2 (−8x) dx

Question

Find the indefinite integral and check the result by differentiation. (Remember the constant of integration.)33 − 4x2 (−8x) dx
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Solution 1

The integral of the function 33 - 4x^2 * (-8x) dx can be simplified first.

The function simplifies to 33 - (-32x^3) which is 33 + 32x^3.

Now, we can integrate term by term:

∫33 dx + ∫32x^3 dx

The integral of a constant (like 33) is just that constant times x. The integral of x^n (where n ≠ -1) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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