Integration by Completing the Square and Substitution Calculator

Complete the Square for Integration Helper

Enter the coefficient 'b' from your quadratic expression x² + bx + c.
Enter the constant 'c' from your quadratic expression x² + bx + c.

Master crucial calculus techniques with our free online calculator for Integration by Completing the Square and Substitution. Easily transform quadratic expressions and find optimal substitutions to simplify complex integrals. Ideal for students and engineers needing a quick way to tackle challenging calculus problems and improve their integration skills.

Formula:

For integrating expressions containing a quadratic of the form x2 + bx + c, completing the square transforms it into (x + h)2 + k.

  • h = b / 2
  • k = c - (b / 2)2
  • The term to add and subtract for completing the square is (b / 2)2

Mathematics and Calculus Tools

Definite Integral

Go to Calculator

Mean Value Theorem (MVT) for Derivatives : Definition, Examples, and Proof

Go to Calculator

Online Differentiation

Go to Calculator

Subtraction Rule in Differentiation

Go to Calculator