Grade 12 · Math
Integrate a quadratic over an interval practice
Evaluate a definite integral of a constant multiple of x².
Opening your practice adventure…
Try a sample
Evaluate the definite integral of 15x2 from x=0 to x=4.
- 322
- 319
- 320
- 321
See the answer & why
320
An antiderivative is × x3. Evaluate at 4 and 0: 15 × 43/3 = 320.
A little hint: Reverse the power rule, then subtract the lower-bound value from the upper-bound value.
A teaching tip
Find an antiderivative first, then apply the upper and lower bounds.