Antiderivatives

Front

Find the antiderivative of x^2

Back

(1/3)x^3 + C

Front

Find the antiderivative of (1/3)x^3 - 5x

Back

(1/12)x^4 - (5/2)x^2 + C

Front

Find the antiderivative of 4x - 7

Back

2x^2 - 7x + C

Front

What is an antiderivative?

Back

The opposite of a derivative

Front

When do you add C when finding antiderivatives?

Back

Always

Front

Find the antiderivative of 3x^4

Back

(3/5)x^5 + C

Front

Find the antiderivative of 2x^3 + 4x

Back

(1/2)x^4 + 2x^2 + C

Front

Find the antiderivative of sin(x)

Back

-cos(x) + C

Front

Find the antiderivative of e^x

Back

e^x + C

Front

What is the Fundamental Theorem of Calculus?

Back

It links the concept of differentiation and integration, stating that if F is an antiderivative of f on an interval [a, b], then ∫_a^b f(x)dx = F(b) - F(a).