Introduction to the Area Under the Curve Calculator
To find tha area under the curve you must need to know about the concepts of integrals. However which technique of integral requires to answer that how to find area under the curve? That a question that triggers when you think to solve for integral of irrgeular shaped body. But here the curve area integral calculator which provide an accurate estimate of the area of a specific region under the curve.
The area under graph calculator is an online tool for evaluating the area. This online integral tool displays the area for the given curve function with defined limits in a few seconds. The area under the curve calculator makes the calculation faster and more accurate. The area under two curves calculator calculates the risk-free and understandable calculations.
Beside to this, also find integral using trig substitution calculator and integral u substitution calculator, if you find hard to solve integration by u substitution method.
What is Area Under Curve Calculator?
An integral area calculator is a tool that uses the method to calculate the area of definite integrals between upper and lower limits. Basically, the area under the integral curve calculator is used for finding the areas of irregular figures.
This calculator will helps you for solving the long division, equations and provide you faster and acurate results.
Formula Used by Integral Area Calculator
The area under two curves calculator calculates definite integrals with step-by-step instructions. This calculator uses the following formula with step-by-step instructions to solve the improper integral problems:
Here
a & b are upper and lower limits
F(x) is the given curve function.
The above formula is used by our area under 2 curves calculator to calculate the area under the curve by using the integration method.
How to Find Area Under the Curve?
Example : Find the total area between the curve y = x3 and the x-axis between x = -2 to x = 2.
Solution: If we simply integrate x3 between -2 to 2, we will get:
$$ \int_{-2}^2 x^3 dx \;=\; \frac{x^4}{4} \biggr|_{-2}^{2} \;=\; 4-4 \;=\; 0 $$So, instead of splitting the graph, we will split the integral into two
$$ \int_{0}^2 x^3 dx \;=\; \frac{x^4}{4} \biggr|_{0}^{2} \;=\; \frac{16}{4}-0 \;=\; 4 $$ $$ \int_{-2}^0 x^3 dx \;=\; \frac{x^4}{4} \biggr|_{-2}^0 \;=\; 0 - \frac{16}{4} \;=\; -4 $$So the area is 4.
When we add these two splitted integrals, we will get area under the graph as 8 units.
How to Use Area Under Graph Calculator?
An area under curve calculator with steps finds the area under the curve with the integration by following these guidelines
Input:
- Enter your curve function or Load example.
- Now, Enter the upper and lower limits.
- Then, select the variable for integration from the given list.
- Finally click on the "CALCULATE" button to find the area under the curve.
Output:
On the result page, this integral area calculator will provide:
- The visual representation of the integral function.
- The area of the specific region with all possible intermediate steps.
How to Get this Area Integral Calculator Online?
The following steps are followed to find the area under the curve calculator with steps:
Step 1: First of all, enter the keywords in the search bar.
Step 2: Google shows you some suggestions for the searched calculators.
Step 3: Now select the Integral Calculator from Google suggestions
Step 4: Then choose this calculator for the area under curve calculator is displayed on your screen.
For lengthy and complex integral calculation, use our integration by partial fraction calculator as well as integration by parts step by step calculator. These will save your time and efforts while solving complex integration methods.
Benefits of Calculator for the Area Under the Curve
The area of the region under the curve calculator has the following benefits:
- The area under the curve integral calculator will calculate the problems in just a few minutes and solve the curve functions step-by-step.
- It is a time-saving tool for solving the area of irregular figures and shapes.
- It keeps you away from complex and hectic manual calculations.
- This online calculator provides free of cost solution without demanding any cost.
- The area under 2 curves calculator evaluates the area of different definite and indefinite functions.
- The area under the graph calculator gives you the results in the form of graphs, possible intermediate steps, real and imaginary parts and alternatwe form of definite and indefinite integrals.
- The results of the area integral calculator are fast, accurate and reliable.
- The area under the curve calculator with steps gives you accurate and authentic results.
So this is all about integral curve area calculator. For more online tools and learning guides, stay tuned with us.