GCEFurther MathematicsIntegration2022

Evaluate $\int_{0}^{2} (x^2 + 1)\, dx$

A5
B4
C$\frac{14}{3}$CORRECT
D$\frac{10}{3}$
AI
Toaster Teacher
Why the answer is C, and why the others tempt you.
Integrating gives [x³/3 + x] evaluated from 0 to 2. At x = 2: 8/3 + 2 = 8/3 + 6/3 = 14/3. At x = 0: 0. The result is 14/3. Option D arises from forgetting the +1 term's contribution correctly.
Want this in Pidgin, Yoruba, Igbo or Hausa? Sign up free →

Practice more Further Mathematics questions

GCE Further Mathematics has thousands more questions like this — with Worked answers on every one.