Integration Quiz with u-sub

What should "du" equal in this integral?

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

Tags

CCSS.HSF.TF.C.9

∫ 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.SSE.B.3

CCSS.HSA.APR.A.1

∫ 2x cos(x²) dx

• sin(x²) + C

• 2 sin ( 2x ) + C

• (1/2) sin(x²) + C

• 4 cos(2x ) + C

∫5 e^5x dx

• 25 e^5x + C 
• 5 e^{5x - 1} + C 
• e^5x +  C 
• (1/5) e^5x + C 

What should "u" equal in this integral?

• x
• (lnx)/x
• lnx
• sin(lnx)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSA.APR.D.6

• A
• B
• C
• D

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

• 1/3
• 8/3
• 16/3
• 24/3

Given  $\frac{d}{dx}\left(\frac{2}{x-3}\right)=g\left(x\right)$  , find  $\int_{ }^{ }g\left(x\right)dx$  .

•  $\frac{2}{x-3}$  

•  $\frac{2}{x+3}$  

•  $-\frac{2}{x-3}$  

•  $\frac{2}{-x-3}$  

• -cos(x⁶)
• sin(x⁶)
• 2x sin(x³)
• 2x sin(x⁶)