Integration

Front

What is the antiderivative of x^2?

Back

(1/3)x^3 + C

Front

What does C represent in an antiderivative?

Back

A constant

Front

What is the integral of a constant?

Back

The integral of a constant k is kx + C.

Front

What is the antiderivative of 4 - 18x?

Back

F(x) = 4x - 9x^2 + C

Front

Find the antiderivative of 4x - 7.

Back

2x^2 - 7x + C

Front

What is the power rule for integration?

Back

The power rule states that ∫x^n dx = (1/(n+1))x^(n+1) + C, for n ≠ -1.

Front

What is the integral of x^3?

Back

(1/4)x^4 + C

Front

What is the integral of e^x?

Back

e^x + C

Front

What is the integral of sin(x)?

Back

-cos(x) + C

Front

What is the integral of cos(x)?

Back

sin(x) + C