Integral Calculus Quiz for Grade 1

What is the integral of a constant function?

• The integral of a constant function is equal to the derivative of the constant

• The integral of a constant function is equal to the square of the constant

• The integral of a constant function is equal to the constant multiplied by the variable of integration.

• The integral of a constant function is equal to the reciprocal of the constant

What is the integral of x^n, where n is a positive integer?

• (x^n)/(n+1) + C

• (x^(n+1))/(n-1) + C

• (x^(n+1))/(n+1) + C

• (x^(n-1))/(n-1) + C

What is the integral of a sum of two functions?

• Quotient of the integrals of the individual functions

• Difference of the integrals of the individual functions

• Sum of the integrals of the individual functions

• Product of the integrals of the individual functions

What is the integral of a difference of two functions?

• Product of the integrals of the individual functions

• Difference of the integrals of the individual functions

• Quotient of the integrals of the individual functions

• Sum of the integrals of the individual functions

What is the integral of a product of two functions?

• Division by parts

• Integration by parts

• Differentiation by parts

• Multiplication by parts

What is the integral of a quotient of two functions?

• It is always equal to 1

• It depends on the specific functions involved

• The integral does not exist

• The integral is always zero

What is the integral of a power function?

• The integral of a power function is (n+1)x^(n-1)

• The integral of a power function is (1/(n+1))x^(n+1) + C, where n is the power of the function and C is the constant of integration.

• The integral of a power function is 2x^(n+1)

• The integral of a power function is x^n

What is the integral of a trigonometric function?

• The integral is always one

• The integral is always a constant value

• It depends on the specific trigonometric function and the limits of integration.

• The integral is always zero

What is the integral of an exponential function?

• The sum of an exponential function and a linear function

• The square root of an exponential function

• The derivative of an exponential function

• Same exponential function with a constant factor

What is the integral of a logarithmic function?

• e^x + C

• xln(x) - x + C

• x^2 + C

• 2x + C