Intro Turunan dan Integral 1

What is an integral?

• A mathematical expression for the area under a curve
• A mathematical expression for the slope of a curve
• A mathematical expression for the distance between two points
• A mathematical expression for the derivative of a function

When calculating integrals, what is the fundamental theorem of calculus?

• The derivative of a function can be used to calculate its integral
• The integral of a function can be used to calculate its derivative
• The integral of a function is equivalent to its derivative
• The derivative of a function is equivalent to its integral

What is the difference between the integral and differential?

• Integrals are used to find the area under a curve while differential equations are used to solve for unknown functions
• Differential equations are used to find the area under a curve while integrals are used to solve for unknown functions
• Integrals are used to solve for unknown functions while differential equations are used to find the area under a curve
• Differential equations are used to solve for unknown functions while integrals are used to find the area under a curve

What is a differential equation?

• A mathematical equation that defines the rate of change of a function
• A mathematical equation that defines the area under a curve
• A mathematical equation that defines the derivative of a function
• A mathematical equation that defines the integral of a function

What is the purpose of an integral?

• To solve for the area under a curve
• To solve for the derivative of a function
• To solve for the distance between two points
• To solve for an unknown function

What is the purpose of a differential equation?

• To solve for the area under a curve
• To solve for the derivative of a function
• To solve for the distance between two points
• To solve for an unknown function

How is a derivative calculated?

• By evaluating the area under a curve
• By evaluating the integral of a function
• By evaluating the slope of a curve
• By evaluating the distance between two points

What is the fundamental theorem of calculus?

• The derivative of a function can be used to calculate its integral
• The integral of a function can be used to calculate its derivative
• The integral of a function is equivalent to its derivative
• The derivative of a function is equivalent to its integral

What is the relationship between integrals and derivatives?

• Integrals are derivatives of functions
• Derivatives are integrals of functions
• Integrals and derivatives are related but not the same
• Integrals and derivatives are the same thing

What is a definite integral?

• A mathematical expression for the area between two points
• A mathematical expression for the slope of a curve
• A mathematical expression for the distance between two points
• A mathematical expression for the integral of a function over a given interval