Skip to main content
AI Math StudioFree AI maths help, every step shown

See the maths, not just the answer.

Ask a maths question in the workspace. The AI tutor writes out every step, and the graphs and calculators beside it let you check each one.

  • 100Free AI credits a day
  • 8Exam hubs, each with a mock test
  • 0Credits for the calculators

Check the working, not just the answer

AI can make mistakes, and no one reviews its answers, so check the working with the tools or ask your teacher.

Graph it Calculate it

Tangent at x = 1.57

y = 1.57

Slope: 0.00

y = x sin x + cos x, the answer to ∫ x cos x dx. Point at the curve, drag along it or use the arrow keys: its slope is always x cos x, the question.
Step 2 of the working∫ x cos x dx = x sin x − ∫ sin x dx
Checked on the graphThe slope of x sin x + cos x is x cos x
Step by step

Every step, written out

Watch the tutor answer a real question: it works ∫ x cos x dx by parts, one line at a time, each line beside the rule it uses, then boxes the answer.

AI Math TutorOnlineExample

Integrate x cos x

  1. ∫xcos⁡(x) dx\int x \cos(x) \, dx
  2. u=x,dv=cos⁡(x) dxu = x, \quad dv = \cos(x)\,dx
  3. du=dx,v=sin⁡(x)du = dx, \quad v = \sin(x)
  4. ∫u dv=uv−∫v du\int u \, dv = uv - \int v \, du
  5. =xsin⁡(x)−∫sin⁡(x) dx= x \sin(x) - \int \sin(x) \, dx
  6. =xsin⁡(x)+cos⁡(x)+C= x \sin(x) + \cos(x) + C
Answer
∫xcos⁡(x) dx=xsin⁡(x)+cos⁡(x)+C\int x \cos(x) \, dx = x \sin(x) + \cos(x) + C
Ask your own maths question…
Check it on a graph

What the graphs beside the answer are for

Four of the workspace's tools, drawn from the same maths. Pick one and watch it work, then replay it.

Graph 1 of 4

Checked on a graph

Example

A language model predicts likely text; it does not check its own algebra. So check it here: the slope of the answer must be the question. Watch the tangent ride the blue answer while the magenta dot marks x cos x: they agree at every point.

Open the step-by-step solver
Check

Slope of the answer at x = 5.90: 5.47

x cos x at x = 5.90: 5.47

Exam prep

Exam hubs

Each hub sets out the exam's format and marking scheme, with topics to practise, a timed mock test and a study sheet to print.

All exam hubs
India

JEE Main

14units

25 maths questions • +4 / −1

Mathematics is one of three subjects in Paper 1 (B.E./B.Tech): 25 questions, all compulsory. Section A has 20 multiple-choice questions and Section B has 5 numerical-value questions. The whole paper is 75 questions, 300 marks, in 3 hours.

Check it yourself

What sits beside the AI's answer

SparklMind puts graphing, calculator and visualiser tools next to the AI's working so you can test each step.

What you needWhat SparklMind gives you

Checking the working

Shows the working step by step, with graphs and calculators beside it so you can test each step yourself.

Seeing the maths

Graphs, a function explorer, statistics with charts, Riemann sums, slope fields, formula sheets and a triangle you can drag.

Starting from a photo

Upload a photo of the problem and the AI model reads it into typeset maths. Check the reading before you rely on it.

The AI's answer
∫xcos⁡(x) dx=xsin⁡(x)+cos⁡(x)+C\int x \cos(x) \, dx = x \sin(x) + \cos(x) + C

Every step written out, and every step checkable with the tools around it.

Hints before answers

A tutor mode that asks questions and gives hints instead of the final answer.

Remembering it later

Flashcards scheduled by the SM-2 spaced-repetition method, and practice quizzes.

Worked out, not written

The scientific and graphing calculators compute their answers, so they use no AI and no credits.

Keep going with SparklMind