U-Sub Practice

∫ 2x cos(x²) dx

• sin(x²) + C

• 2 sin ( 2x ) + C

• (1/2) sin(x²) + C

• 4 cos(2x ) + C

∫ 6x (x² +1 )² dx

• ( x² + 1)³ + C

• 3 ( x² + 1)³ + C

• ( x² + 1)¹ + C

• 6 ( x² + 1)³ + C

 $\int\cos\left(4x+5\right)dx_{ }^{ }$   

•  $-\frac{1}{4}\sin\left(4x+5\right)+C$  

•  $4\sin\left(4x+5\right)+C$  

•  $\frac{1}{4}\sin\left(4x+5\right)+C$  

•  $4\cos\left(4x+5\right)+C$  

Tags

CCSS.HSF.TF.B.7

 $\int_{ }^{ }\left(3x^4+2\right)^4\left(12x^3\right)dx$  

•   $\frac{1}{2}\left(3x^4+2\right)^4+C$  

•  $\left(3x^4+2\right)^4+C$  

•  $\frac{1}{5}\left(3x^{4\ }+2\right)^{5\ }+C$  

•  $\frac{1}{15}\left(3x^4+2\right)^5+C$  

Which integral below needs to be solved with u-sub?

• $\int_{ }^{ }\sin xdx$

• $\int_{ }^{ }\sec^2xdx$

• $\int_{ }^{ }\sqrt{2x-1}dx$

• $\int_{ }^{ }\left(\frac{1}{x^2}\right)dx$

• 14/3

• 16/3

• 62/3

• none of these

 $\int\left(3x-4\right)^4dx$  

•  $\frac{1}{15}\left(3x-4\right)^5+C$  

•  $\frac{1}{5}\left(3x-4\right)^5+C$  

•  $\frac{3}{5}\left(3x-4\right)^5+C$  

•  $\frac{1}{3}\left(3x-4\right)^5+C$  

Do you use u substitution to integrate this? $\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx$  

• No

• Yes

Do you use u substitution to integrate this? $\int\left(3x-4\right)^4dx$  

• Yes

• No

Do you use u substitution to integrate this? $\int5x^4dx$  

• Yes

• No