Definite Integrals

_{Evaluate the integral}

• 30/3
• 31/3
• 29/3
• 32/3

What should "du" equal in this integral?

• tanxsecx dx
• secx dx
• sec²x dx
• tanx dx

∫₁² (3x² + 4x³)dx

• a. 24
• b. -8
• c. -10
• d. 22

Tags

CCSS.HSA.APR.A.1

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

• 100
• 99
• 150
• 152

• ln(2x²+6) + C
• ln(2x²+6)(4x) + C
• 1/(2x²+6) + C
• 1/(2x²+6)² + C

Tags

CCSS.HSA.APR.D.7

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

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

∫ sin (2x) dx

• cos(2x)+C

• -(1/2)cos(2x)+C

• -cos(2x)+C

• (1/2)cos(2x)+C

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

Tags

CCSS.HSA.APR.A.1