Learning Antiderivatives

Monomials

100

2x

x²+C

200

3x²

x³+C

300

4x³

x⁴+C

400

7

7x+C

500

0

C (any Constant other than 0)

Polynomials

100

2x+5

x²+5x+C

200

3x²+2x+1

x³+x²+x+C

300

12x²+4

4x³+4x+C

400

5x⁴+2x-2

x⁵+x²-2x+C

500

7x⁶+6x⁵+5x⁴

x⁷+6x⁵+5x⁴+C

Trigonometry

100

cos(x)

sin(x)+C

200

-sin(x)

cos(x)+C

300

sec²(x)

tan(x)+C

400

sec(x)tan(x)

tan(x)+C

500

2cos(x)

2sin(x)+C

Rational Exponents

100

1/(2x^1/2)

x^1/2+C

200

(3/2)x^1/2

x^3/2+C

300

1/(3x^2/3)

x^1/3+C

400

1/(5x^4/5)

x^1/5+C

500

(3/2)x^1/2

x^3/2+C

It seems familiar…

100

x

(1/2)x²+C

200

x²

(1/3)x³+C

300

x³

(1/4)x⁴+C

400

2x³

(1/2)x⁴+C

500

x^1/2

(2/3)x^3/2+C