Antiderivatives Calculator

Enter the expression and the variable for which to find the antiderivative. Use * to indicate multiplication between coefficients and variables. For example, enter 2*x^2+3*x^(-1)+2, instead of 2x^2+3x^(-1)+2.



Solution:

Examples:

  • To antiderive the function \(f(x)=2x^2+3x-2\), enter 2*x^2+3*x-2 and the variable x.
  • To antiderive \(f(t)=\frac{1}{3}t^2+\frac{4}{3}t\), enter 1/3*t^2+4/3*t and the variable t.
  • To antiderive \(f(x)=\frac{1}{2*x}+\frac{1}{3x^2}\), enter 1/(2*x)+1/(3*x^2) and the variable x.

With this calculator, you can get the antiderivative of an expression. The calculator can antiderivative polynomials, trigonometric expressions, exponential expressions, among others.

How to use the antiderivative calculator?

Step 1: Enter the expression to be antiderived in the first input box. Take into account the recommendations mentioned in the following question to enter expressions correctly.

Step 2: Enter the variable for which to antiderive in the second input box. In most cases, the variable is x.

Step 3: Click “Antiderivative” to get the antiderivative of the entered expression.

Step 4: The antiderivative along with the original expression entered will be displayed at the bottom.

How to enter expressions in the calculator?

We have to consider that we can only enter expressions and not functions. That is, we only need to consider the expression on the right side of the equals sign. For example, if we have the function f(x)=x+1, we must enter x+1.

Also, we must use the * sign to indicate multiplication between coefficients and variables. For example, we enter 4*x or 5*x, instead of 4x or 5x. Also, we use the ^ sign to write exponents. For example, 2*x^2 indicates that x is being squared.

Finally, we use the / sign to indicate fractions. Using parentheses, we can express the fraction correctly. The following are some examples of how to enter expressions correctly:

  • To antiderive the function \(f(x)=x^2+5x-5\), enter x^2+5*x-5 and the variable x.
  • To antiderive \(f(t)=\frac{2}{3}t^2+\frac{1}{3}t\), enter 2/3*t^2+1/3*t and the variable t.
  • To antiderive \(f(x)=\frac{1}{5*x}+\frac{1}{5x^3}\), enter 1/(5*x)+1/(5*x^3) and the variable x.

What are antiderivatives?

Antiderivatives are the opposite of derivatives. An antiderivative is a function that reverses the effect of a derivative. A function has many antiderivatives, but all of them take the form of a function plus an arbitrary constant. Antiderivatives are a main part of indefinite integrals.

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