Calcul
U-Substitution Integral Calculator
Simplify integrals with our U-Substitution Calculator. Get step-by-step solutions for indefinite integrals online. Perfect for calculus students and professionals.
Define Your Integral
∫
dx
Enter the function you want to integrate.
Define u as a function of x for substitution.
Indefinite Integral Result:
Calculation Steps:
Understanding U-Substitution
U-Substitution, or integration by substitution, is a method to simplify integrals when they are in the form ∫f(g(x))g'(x) dx. By setting u = g(x), the integral transforms into ∫f(u) du, which is often easier to solve.
This technique is the reverse of the chain rule in differentiation. The steps involve:
- Choosing a suitable substitution u = g(x).
- Finding du = g'(x) dx.
- Rewriting the integral in terms of u.
- Evaluating the new integral with respect to u.
- Substituting back x in place of u to get the final result.
Use this calculator to effortlessly apply u-substitution. Input your function and substitution, and get detailed steps to understand the process and solution.