Antiderivatives

Front

What is the antiderivative of -sin(x)?

Back

-cos(x) + C

Front

What is the antiderivative of 1/x?

Back

ln|x| + C

Front

What is the antiderivative of -csc²(x)?

Back

cot(x) + C

Front

If f'(x) = (x + 2)/(3x), what is f(x)?

Back

(2/3)ln|x| + x/3 + C

Front

What is the antiderivative of csc(x)cot(x)?

Back

-csc(x) + C

Front

Define antiderivative.

Back

An antiderivative of a function f(x) is a function F(x) such that F'(x) = f(x).

Front

What is the relationship between differentiation and antiderivatives?

Back

Antiderivatives are the reverse process of differentiation.

Front

What is the constant of integration?

Back

The constant of integration (C) represents an infinite number of possible vertical shifts of the antiderivative.

Front

What is the antiderivative of sec²(x)?

Back

tan(x) + C

Front

What is the antiderivative of e^x?

Back

e^x + C