Integration by substitution 3

∫ 2 x (x²- 3)^(1/2) dx

• (x²- 3)^(3/2)+C
• (3/2)(x²- 3)^(3/2)+C
• (2/3)(x²- 3)^(3/2)+C
• (2/3)(x²- 3)^(-1/2)+C

Tags

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.2

∫ 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

∫ e^2x dx

• e^2x +C
• 2e^2x + C
• (1/2)e^{x + C}
• (1/2)e^2x +C

Tags

CCSS.HSF.IF.C.8

∫ (2 - x)⁵ dx

• -5 (2 - x )⁴ + C
• ( 2 - x )⁶ + C 
• (1/6) ( 2 - x )⁶ + C 
• -(1/6) ( 2 - x )⁶ + C 

∫ x (x² + 7 )^(1/3) dx 

• (3/4) ( x²+ 7 )^(4/3) + C
• (3/8) ( x²+ 7 )^(4/3) + C 
•  ( x²+ 7 )^(4/3) + C 
• (3/2) ( x²+ 7 )^(4/3) + C 

Tags

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.2

∫5 e^5x dx

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

Integrate  $\int_{ }^{ }2x+7dx$  

•  $x^2+7x+C$  

•  $2+C$  

•  $4x+7+C$  

•  $4x^2+7x+C$  

Integrate $\int_{ }^{ }\left(\frac{1}{3}-3e^x+3x^2\right)dx$  

•  $\frac{x}{3}-3e^x+x^3+C$  

•  $-3e^x+6x+C$  

•  $-3e^x+3x^3+C$  

•  $\frac{x}{3}-3e^x+x^2+C$  

Integrate  $\int_{ }^{ }2x\sqrt{\pi-x^2}dx$  

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

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

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

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