AP Calculus-- Antiderivatives

Tags

CCSS.HSF-IF.C.7E

What is an antiderivative of g(x) = sin x?

• cos x

• -cos x

• tan x

• -tan x

Answer explanation

Remember the derivative of cos x is -sin x.

Therefore the antiderivative of sin x must be -cos x, not just cos x.

• ln(3x)

Which of these is an antiderivative of y = sec²x?

• tan x

• sec x

• cot x

• csc x

Which of these is an antiderivative of y = 4csc x cot x?

• 4 csc x

• -4 csc x

• 4 cot x

• -4 cot x

Find an antiderivative of 6x + 3.

• 3x² + 3x + 5

• 6x² + 3x

• 3x² + 3

• 6x² + 3x - 8