Intro to Calculus - Week 28 Quiz Multiple Choice Section

For a function that is strictly decreasing, a right hand Riemann Sum is which of the following:

• Overestimate
• Underestimate
• Exact Solution
• Unable to Determine

For a function that is strictly increasing, a right hand Riemann Sum is which of the following:

• Overestimate
• Underestimate
• Unable to Determine
• Exact Solution

Which of the following definite integrals represent the area of the shaded region? (Scaled by ones)

• $\int_0^3\ x^2+3\ dx$

• $\int_1^3\ x^2+3\ dx$

• $\int_3^1\ x^2+3\ dx$

• $\int_1^3x^{2\ }+3\ dy$

Evaluate

∫₀² f(x) dx

• 4

• -4

• 4 + 2π

• -4 - 2π

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

Evaluate the Definite Integral. Hint: graph it.

• 8π

• 16π

• 4π

• 2π

Another word for 'integral' is .. .

• Constant
• Derivative
• Antiderivative
• Theorem

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

  $\$  If F(x) =   $\int_{-3}^x\sin xdx$  then F'(x) =

• cosx

• sin(-3)

• sinx

•  $\sin\pi$  

• 1 ⁄ (1+x³) 
• (3x²) ⁄ (1+x³) 
• x³  ⁄ (1+x³) 
• HELP