Chapter 5 Test Review on Integration

Integral of a Quotient (No Calculator)

a) (e^2 - 3) / 2

Trig Property (No Calculator)

a) 0

Using a Graph to Evaluate a Definite Integral (No Calculator)

a) 1.5−0.5π

Right Riemann Sum (No Calculator)

a) 24

Antiderivatives: Rational Exponents (No Calculator)

a) 27/17x^17/9+35/9x^9/7 + C

Fundamental Theorem of Calculus | 2 of 3

a) 2xln(4x^4+1)

Average Value of Polynomial Function in Interval (No Calculator)

a) 4

Integral of a Derivative (No Calculator)

a) 4

Overestimation of Riemann Sum (No Calculator)

b)

Analyzing Graph of f(x) (No Calculator)

b) (a, c)

Antiderivative of a Trigonometric Function (No Calculator)

b) -1/3cos(3x) + 1/3sin(3x) + C

A Trigonometric Integral (No Calculator)

b) 1

Integrating Using the Log Rule (No Calculator)

b) 1/2 ln|x2−1|+C

Integrating a Binomial Raised to a Power (No Calculator)

b) 1/5x^5 + 2x^3 + 9x + C

Even Function with Integral Properties (No Calculator)

b) 16

Derivative Using the 2nd Fundamental Theorem (No Calculator)

b) 2sin(4x^2)

Algebraic Approach to Evaluating Integral (No Calculator)

b) 2x-10ln|x+5|+C

Antiderivatives: Opposite of Derivatives 5x−2 (No Calculator)

b) 5/2x^2-2x+C

Right Riemann Table (No Calculator)

b) 54

Midpoint Approximation: Displacement of a Particle (Calculator)

b) 72 m

Graphical Interpretation: Accumulation Function (No Calculator)

b) 8π

Riemann Sums Error Estimates (No Calculator)

b) Left Riemann Sum approximation of ∫3,1f(x)dx with 4 subintervals of equal length.

Fundamental Theorem of Calculus | 1 of 3

b) sin(e^4x^2+1)

Antiderivative of an Exponential Function (No Calculator)

c) -1/2 e ^ -2x + C

Midpoint Table (No Calculator)

c) 100

Basic Average Value Theorem (No Calculator)

c) 15/4

Integral of 1/x (No Calculator)

c) 2

Trapezoidal Table (No Calculator)

c) 46

Calculate a Left Riemann Sum Using a Table (No Calculator)

c) 52

Accumulation Based on a Piecewise Linear Function (No Calculator)

c) g(0)

Fundamental Theorem of Calculus | 3 of 3

c) sin a√(cos^3a+1)

Antiderivative Involving a Radical Expression (No Calculator)

c) x^-3/2 + C

Second Fundamental Theorem of Calculus (No Calculator) (BC Only)

c) x^3

Antiderivative of an Algebraic Function (No Calculator)

c) −1/2x^-2 + C

Trapezoidal vs Riemann Sum Approximations (No Calculator)

d)

Integrate an Exponential Function (No Calculator)

d) 1/2 - e^-2 / 2

Antiderivatives: Positive/Negative Exponents (No Calculator)

d) 10/11x^11 + 9/8x^-8 + C

Integral of 4/x^2 (No Calculator)

d) 2

Using the Second Fundamental Theorem (No Calculator)

d) 2xsin(x^2)

Riemann Sum to Approximate a Definite Integral (No Calculator)

d) 300

Solve for k in an Integral (No Calculator)

d) 5

Accumulation Function from Graph (No Calculator)

d) 5 < x < 6

Integrating an Absolute Value Function (No Calculator)

d) 8.5

Trapezoidal Table: Estimating the Integral (No Calculator)

d) 92

A Geometric Integral (No Calculator)

d) 9π/4

Comparing Integrals 1 (No Calculator)

d) II and III only.

Second Fundamental Theorem (No Calculator)

d) x^3

Underestimate of Trapezoidal Approximation (No Calculator)

a)

Average Value Over an Interval (No Calculator)

a) 43

Graphical Interpretation: Shape Integration (No Calculator)

a) 8π