Integration Quiz

What is the basic concept of integration?

• Finding the slope of a curve

• Multiplying two functions

• Finding the maximum value of a function

• Finding the area under a curve

What is the antiderivative of a constant function?

• Quadratic function

• Exponential function

• Trigonometric function

• Linear function

What is the power rule for integration?

• (1/n) * x^n + C

• (n+1) * x^(n+1) + C

• (1/n) * x^(n+1) + C

• (1/(n+1)) * x^(n+1) + C

What is the constant multiple rule for integration?

• Factor out the constant and integrate the function, then multiply the result by the constant.

• Ignore the constant and integrate the function as is.

• Divide the function by the constant and then integrate it.

• Multiply the function by the constant and then integrate it.

What is the sum rule for integration?

• The sum rule for integration is: ∫(f(x) - g(x)) dx = ∫f(x) dx - ∫g(x) dx

• The sum rule for integration is: ∫(f(x) / g(x)) dx = ∫f(x) dx / ∫g(x) dx

• The sum rule for integration is: ∫(f(x) + g(x)) dx = ∫f(x) dx + ∫g(x) dx

• The sum rule for integration is: ∫(f(x) * g(x)) dx = ∫f(x) dx * ∫g(x) dx

What is the difference rule for integration?

• The integral of (f(x) - g(x)) is equal to the integral of f(x) minus the integral of g(x).

• The integral of (f(x) / g(x)) is equal to the integral of f(x) divided by the integral of g(x).

• The integral of (f(x) * g(x)) is equal to the integral of f(x) times the integral of g(x).

• The integral of (f(x) + g(x)) is equal to the integral of f(x) plus the integral of g(x).

What is the integration of a polynomial function?

• The integration of a polynomial function involves finding the limit of the function.

• The integration of a polynomial function involves finding the derivative of the function.

• The integration of a polynomial function involves finding the antiderivative of the function.

• The integration of a polynomial function involves finding the maximum value of the function.

What is the integration of a trigonometric function?

• Taking the derivative of the function

• Finding the antiderivative of the function

• Solving for the maximum value of the function

• Finding the average value of the function

What is the integration of an exponential function?

• C

• e^x

• e^x - C

• e^x + C

What is the integration of a logarithmic function?

• x(ln(x) + 2) + C

• x(ln(x) - 1) + C

• x(ln(x) - 2) + C

• x(ln(x) + 1) + C