Integrals U-Substitution

∫ 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.HSA.SSE.B.3

CCSS.HSN.RN.A.2

∫ sin (2x) dx

• cos(2x)+C

• -(1/2)cos(2x)+C

• -cos(2x)+C

• (1/2)cos(2x)+C

∫ 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

∫ (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

Tags

CCSS.HSA.APR.A.1

∫ 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

∫ 2x cos(x²) dx

• sin(2x) + C

• 2 sin ( 2x ) + C

• (1/2) sin(2x) + C

• 4 cos(2x ) + C

Solve the following integral. Leave your solution in term of u.
∫ √(4x-3) dx

• (1/6)(√u)³
• (2/3)u^3/2 + c
• (1/4)u^1/2 +c
• (1/4)u^3/2 + c

∫ (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

• A
• B
• C
• D