Integration Techniques

Evaluate

• sin x + C u²
• -sin x + C u²
• ln |sinx| + C u²
• -ln |sinx| + C u²

Evaluate

• cscx cotx
• secx tanx
• sec²x
• -cscx cotx

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

Evaluate

• cosx
• -cosx
• -sinx cosx
• sinx cosx

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

Evaluate: ∫sec²(x) dx

• sec(x) + C u²
• tan(x) + C u²
•  ⅓sec³(x) + C u²
• ½tan²(x) + C u²

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

• tanx
• tan⁴x
• no u needed
• tanxsecx

For u-substitution what should be the u here?

∫(5xsin(2x²))dx

• 2x²

• 4x

• 5x

• no u substitution needed

For u-substitution what should "u" equal in this integral?

• csc(x)
• csc²x
• sin(x)
• cos(x)

For u-substitution what should be "du" in this integral?

• tanxsecx dx
• secx dx
• sec²x dx
• tanx dx

Tags

CCSS.HSA.SSE.A.1

Solve by u-substitution

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Solve by u-substitution

• ln(2x²+6) + C (with u²)
• ln(2x²+6)(4x) + C (with u²)
• 1/(2x²+6) + C (with u²)
• 1/(2x²+6)² + C (with u²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.D.6