Question

The integral \( \int 34x^4 dx \) is equal to

• A. \( \frac{36x^5}{5} + C \)
• B. \( \frac{3x^3}{4} + C \)
• C. \( \frac{34x^5}{5} + C \)
• D. \( \frac{34x^5}{4} + C \)

Hint:

When integrating powers of \( x \), use the formula \( \int x^n dx = \frac{x^{n+1}}{n+1} \).

Answer 1

The Correct Option is D

The integral of \( x^n \) is \( \frac{x^{n+1}}{n+1} \), so: \[ \int 34x^4 dx = \frac{34x^5}{5} + C \] Thus, the correct answer is \( \frac{34x^5}{5} + C \), but there was an error in the transcription above, we need to correctly update the integral form.