Free tool
Add Math Calculus Step Solver
Differentiate or integrate a polynomial in x and see every step, with the rule named at each line, a check for your own working, not a shortcut past it.
Differentiate or integrate a polynomial in x, every step shown, with the rule named. Enter terms like 3x^3 - 2x^2 + 5x - 7.
Scope: polynomials in x (the power rule). For products, quotients, chain-rule composites, trig, eˣ and ln x, a teacher walks you through the method, see the calculus clinic.
How to use it
- Type a polynomial in x, e.g. 3x^3 - 2x^2 + 5x - 7.
- Choose Differentiate or Integrate.
- Read the term-by-term working and the final result (with + c for integration).
Why it helps
Seeing the power rule applied line by line, with the constant of integration never forgotten, builds the habit that earns method marks in Paper 2.
A little more on this
Calculus marks in Paper 2 are won or lost on tidy, correct working, not just the final answer, so this solver deliberately shows the method, not only the result. It applies the power rule to each term: to differentiate, multiply by the power and reduce the power by one; to integrate, raise the power by one and divide, then add the constant of integration.
Watching that happen term by term is a fast way to catch your own recurring slips, a dropped coefficient, a power off by one, or the missing "+ c" that quietly costs a mark. The tool covers polynomials in x, which is the backbone of the differentiation and integration chapters.
For products, quotients, chain-rule composites, and the trigonometric, exponential and logarithmic functions in the syllabus, the method matters even more, and a teacher can walk you through each one, the calculus clinic pages target the exact errors students make there. Always attempt the working yourself first and use the solver to confirm it.
A tool supports method, it does not replace it
A quick tool is genuinely useful, but it is worth being clear about what it can and cannot do. It can check a result, illustrate an idea, or save time on planning, but the SPM exam rewards method, not answers, and marks come from working you produce yourself under exam conditions.
So use a tool the way you would use the answer at the back of a book: attempt the problem first, then use the tool to confirm your result or to see where your working went wrong. A student who leans on a tool to avoid the working tends to feel confident right up until the exam, where no tool is allowed and the method has to come from memory and practice.
Used the other way, to check and to build intuition, the same tool speeds up real learning. If you find you can get an answer from the tool but cannot yet reproduce the steps yourself, that gap is exactly what a lesson is for.
Frequently asked questions
Is this tool free?
Yes, the tool is free to use. Our tutoring is a separate paid service.