Calc S.I.

Regular Integration

100

Integrate ∫dx

What is x + C?

200

Integrate ∫(4x²+x+3)dx

What is 4/3x³+1/2x²+3x+C?

300

Integrate ∫z^-2 + z/2

What is -z^-1 + (1/4) z² + C?

400

Integrate ∫x^-(6/5) + 6/5

What is 5x^-(1/5) + 6x/5 + C?

500

Integrate ∫(2r² + 1)²

What is (4/3)r³ + 2r² + r + C?

Integration with derivatives

100

Integrate ∫2r(r² + 1)³dr

What is (1/4)(r² + 1)⁴ + C?

200

Integrate ∫1/2(r/2 + 7/3)¹¹dr

What is (1/12)(r/2 + 7/3)¹² + C?

300

Integrate ∫(2 - 6x)(2x - 3x²)⁴

What is (1/5)(2x - 3x²)⁵ + C?

400

Integrate ∫(7/4)x (2x² + 1)⁵dx

What is (16/7)x (2x² + 1)⁶ + C?

500

Integrate ∫(6x-3)(x² - x)³dx

What is 3(x² - x)⁴ + C?

Integration using natural log

100

Integrate ∫e^xdx

What is e^x + C?

200

Integrate ∫e^2x + 2/3 dx

What is (1/2)e^2x + (2/3)x + C?

300

Integrate ∫xe^{x2 + 1}dx

What is (1/2)e^{x2 + 1} + C?

400

Integrate ∫(2/3)xe^2x2dx

What is 6e^2x2 + C?

500

Create an integration question of your own that uses natural log raised to a power of more than one value...and then solve what the answer should be...Explain your answer...

What is ...?