for Sumi's shop
Antiderivatives & Definite Integrals — Easy Worksheet 2
Grade 12 · MathSheets Name: ____________________ Date: __________
For an antiderivative, include + C (like x^3 + 2x + C). For a definite integral or area, give the number.
How to solve
Reverse power rule: the antiderivative of axn is (an + 1)xn+1 + C. For a definite integral from a to b, find an antiderivative F and compute F(b) - F(a). When f(x) ≥ 0, that number is the area under the curve.
Example
Find the antiderivative: ∫(2x) dx
Answer: x² + C
✓ Correct!
Not quite. The answer is
💡 How to solve: Antiderivatives & Definite Integrals
Reverse power rule: the antiderivative of axn is (an + 1)xn+1 + C. For a definite integral from a to b, find an antiderivative F and compute F(b) - F(a). When f(x) ≥ 0, that number is the area under the curve.
Try a similar one
Find the antiderivative: ∫(9x² + 1) dx
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Antiderivatives & Definite Integrals
Reverse power rule: the antiderivative of axn is (an + 1)xn+1 + C. For a definite integral from a to b, find an antiderivative F and compute F(b) - F(a). When f(x) ≥ 0, that number is the area under the curve.
Try a similar one
Find the antiderivative: ∫(9x² + 1) dx
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Antiderivatives & Definite Integrals
Reverse power rule: the antiderivative of axn is (an + 1)xn+1 + C. For a definite integral from a to b, find an antiderivative F and compute F(b) - F(a). When f(x) ≥ 0, that number is the area under the curve.
Try a similar one
Find the antiderivative: ∫(6x² + 6x) dx
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Antiderivatives & Definite Integrals
Reverse power rule: the antiderivative of axn is (an + 1)xn+1 + C. For a definite integral from a to b, find an antiderivative F and compute F(b) - F(a). When f(x) ≥ 0, that number is the area under the curve.
Try a similar one
Find the antiderivative: ∫(3x² + 6x) dx
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Antiderivatives & Definite Integrals
Reverse power rule: the antiderivative of axn is (an + 1)xn+1 + C. For a definite integral from a to b, find an antiderivative F and compute F(b) - F(a). When f(x) ≥ 0, that number is the area under the curve.
Try a similar one
Find the antiderivative: ∫(6x² + 2x) dx
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Antiderivatives & Definite Integrals
Reverse power rule: the antiderivative of axn is (an + 1)xn+1 + C. For a definite integral from a to b, find an antiderivative F and compute F(b) - F(a). When f(x) ≥ 0, that number is the area under the curve.
Try a similar one
Find the antiderivative: ∫(9x² + 6x) dx
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Antiderivatives & Definite Integrals
Reverse power rule: the antiderivative of axn is (an + 1)xn+1 + C. For a definite integral from a to b, find an antiderivative F and compute F(b) - F(a). When f(x) ≥ 0, that number is the area under the curve.
Try a similar one
Find the antiderivative: ∫(6x² + 6x) dx
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Antiderivatives & Definite Integrals
Reverse power rule: the antiderivative of axn is (an + 1)xn+1 + C. For a definite integral from a to b, find an antiderivative F and compute F(b) - F(a). When f(x) ≥ 0, that number is the area under the curve.
Try a similar one
Find the antiderivative: ∫(6x² + 2) dx
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Antiderivatives & Definite Integrals — Easy Worksheet 2
For an antiderivative, include + C (like x^3 + 2x + C). For a definite integral or area, give the number.