Evaluate the integral of 2x(x² + 1)^4 from x = 0 to x = 1.
Answer and explanation
Correct answer: C.
- Step 1: Let u = x² + 1, so du = 2x dx; the limits become 1 and 2. Step 2. The integral of u^4 is u^5/5, giving (2^5 − 1)/5 = 31/5. **Answer: . Why not the others:** is what you get if you use the wrong power after substitution. is what you get if you forget to subtract the value at the lower limit. is what you get if you forget to divide by n + 1.
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