Definite Integrals

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

_{Evaluate the integral}

• 30/3
• 31/3
• 29/3
• 32/3

• 12/3
• 6.5
• 5.5
• 11/3

What should be assigned to u in the integral below?
∫(5xsin(2x²))dx

• 2x²
• 4x
• 5x
• no u substitution needed

What should be used for u in solving the integral below
∫ (tan⁴xsec²x)dx

• tanx
• tan⁴x
• no u needed
• tanxsecx

Solve the following integral. Leave your solution in term of u.

∫ √(4x-3) dx

• (1/6)(√u)³ + c

• (2/3)u^3/2 + c

• (1/4)u^1/2 + c

• (1/4)u^3/2 + c

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

∫ sin (2x) dx

• cos(2x)+C

• -(1/2)cos(2x)+C

• -cos(2x)+C

• (1/2)cos(2x)+C

• -½x^-2 + C
• -⅖x^-5/2 + C
• 2x^1/2 + C
• -2x^-1/2 + C

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

• 1200
• 1/12
• 1134
• 1076

• A
• B
• C
• D