Finding Areas Under Simple Curves

# Finding Areas Under Simple Curves Video Lecture | Mathematics (Maths) for JEE Main & Advanced

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests

## FAQs on Finding Areas Under Simple Curves Video Lecture - Mathematics (Maths) for JEE Main & Advanced

 1. How do you find the area under a simple curve?
Ans. To find the area under a simple curve, you can use integration. The definite integral of the function representing the curve over a given interval will give you the area between the curve and the x-axis within that interval.
 2. Can you explain the concept of finding areas under curves with an example?
Ans. Certainly! Let's consider a simple example where we want to find the area under the curve y = x^2 between x = 0 and x = 2. By integrating the function y = x^2 with respect to x over the interval [0, 2], we can find the area. The integral would be ∫(x^2) dx from 0 to 2, and solving it will give us the area under the curve.
 3. Are there any specific techniques or formulas to find areas under curves?
Ans. Yes, there are various techniques and formulas to find areas under curves, depending on the complexity of the curve. For simple curves, you can directly integrate the function over the given interval. However, for more complex curves, you might need to use techniques like substitution, integration by parts, or trigonometric substitutions to evaluate the integral and find the area.
 4. Can the area under a curve be negative?
Ans. No, the area under a curve cannot be negative. The area represents a positive quantity, and it is always measured as an absolute value. If the curve lies below the x-axis within a given interval, the area would be represented as a negative value, but when considering the overall area, it is always positive.
 5. Is it possible to find the area under a curve if the equation of the curve is not given?
Ans. Unfortunately, it is not possible to find the area under a curve if the equation of the curve is not known. The equation of the curve is essential to set up the integral and evaluate it to find the area. Without the equation, we lack the necessary information to calculate the area accurately.

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests

### Up next

 Explore Courses for JEE exam
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;