Integral Rules!

Basic Rules

100

e

What is ex + c?

200

x²

What is (1/3)x³ + c?

300

e^x

What is e^x + c?

400

1/x

What is ln|x| + c?

500

4^x

What is (1/ln4)4^x + c?

Trig Rules

100

cos(x)

What is sin(x) + c?

200

sin(x)

What is -cos(x) + c?

300

sec²(x)

What is tan(x) + c?

400

sec(x)tan(x)

What is sec(x) + c?

500

csc(x)cot(x)

What is -csc²(x) + c?

More Trig Rules

100

csc²(x)

What is -cot(x) + c?

200

1/√(a² - x²)

What is arcsin(x/a) + c?

300

1/(a² + x²)

What is (1/a)arctan(x/a) + c?

400

1/(x√(x² - a²))

What is (1/a)arcsec(|x|/a) + c?

Challenge Trig

100

tan(x)

What is -ln|cos(x)| + c?

200

cot(x)

What is ln|sin(x)| + c?

300

sec(x)

What is -ln|sec(x) + tan(x)| + c?

400

csc(x)

What is -ln|csc(x) + cot(x)| + c?