Integration and FTOC

Evaluate in terms of area

∫₀² f(x) dx

• 4

• -4

• 4 + 2π

• -4 - 2π

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GMD.A.1

Evaluate the integral

• 3

• 9/2

• 9

• Not possible

Find the area under the curve y =3x²-2x from x= 1 to x =5.

• 100
• 99
• 150
• 152

Where is the graph continuous yet NOT differentiable?

• x = a, b, c, d
• x = b, c, d
• x = a, b, 
• x = b, d

• 1 ⁄ (1+x³) 
• (3x²) ⁄ (1+x³) 
• x³  ⁄ (1+x³) 
• ln(1+x^3)

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

∫¹₀(6x)/(3x²+1)²dx  

• ¾
• ⅗
• 5/4
• -¼

∫ 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.REI.A.2

CCSS.HSA.SSE.B.3

∫ 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

What is u for the function given?

• 
• 
• 
• 

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7