U-Substitution

Which of the following is the correct integral if the u substitution is made.

• A

• B

• C

• D

∫ 6 x (x² +1 )² dx

• ( x² + 1)³ + C
• 3 ( x² + 1)³ + C
• ( x² + 1)¹ + C
• 6 ( x² + 1)³ + C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

What should be used for u in the integral?

• tanx
• tan⁴x
• no u needed
• tanx secx

What should be assigned to u in the integral?

• 2x²
• 4x
• 5x
• no u needed

What should be used for u in the integral?

• no u needed
• 4t²
• t³
• 1/4t²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

Evaluate without a calculator. Show all steps on a sheet of paper.

• A

• B

• C

• D

• E