Antiderivative Practice

∫ - sinx dx

• -cos x + C
• cos x + C
• tan x + C
• 1/√1- x²

∫ 1/x dx

• ln x
• ln x + C
• -1/x²
• -1/x² + C

Tags

CCSS.HSF.BF.B.5

∫(4/x - e^x ) dx

• 4ln x - e^x
• 4 ln x + e^x + C
• 4 ln x - e^x + C
• 4/x²  - 4e^x + C

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSF.BF.B.5

∫ x(x² - 4) dx

• x²/2(x³/3 - 4x) + C
• .25x⁴ -2x² + C
• 3x²- 4 + C
• x⁴ - 4x² + C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

∫-csc²x dx

• cscx + C
• cotx + C
• secx + C
• tanx + C

For u-substitution, what should be used for u here:
∫ (tan⁴xsec²x)dx

• tanx
• tan⁴x
• no u needed
• tanxsecx

For u-substitution what should bethe u here?
∫(5xsin(2x²))dx

• 2x²
• 4x
• 5x
• no u substitution needed

Solve by u-substitution

• A  (with u²)
• B (with u²)
• C (with u²)
• D (with u²)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What method would you use here?

• antiderivatives
• u-substitution
• integration by parts
• slope fields

• A
• B
• C
• D

Tags

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.2