Calculus · 1, 2 & 3
College Calculus 1, 2 & 3 Step-by-Step Solver
From epsilon-free limits to triple integrals — snap the problem and get a narrated whiteboard video that explains which rule to use and why, plus a written solution and PDF notes.
Calculus problems rarely fail on arithmetic — they fail on choosing the method. Should this integral be substitution or integration by parts? Does this series need the ratio test or a comparison? Doubtclip makes that decision explicit, explaining the reasoning before any algebra starts.
It suits first-year university courses in the US, Canada, UK, Australia and India, as well as AP Calculus AB/BC and A-Level Further Maths.
Who it is for
Calculus 1 students
Limits, derivative rules, related rates and optimisation in a first college course.
Calculus 2 students
Integration techniques, applications of integrals, sequences and series — the course many students find hardest.
Calculus 3 & engineering students
Partial derivatives, multiple integrals and vector calculus for physics and engineering degrees.
AP Calculus AB/BC students
The same core methods, explained at a pace suited to high school.
How it works
Step 1
Snap, upload or paste
Photograph the question from your textbook or worksheet, drop in a screenshot from your homework portal, or paste the text. Diagrams, graphs and circuit drawings come along with the image.
Step 2
AI picks the method and solves
Doubtclip names the technique (chain rule, partial fractions, polar coordinates…), explains why it fits and works through every line. Graphs and regions from your image are redrawn on the whiteboard.
Step 3
Watch the video, keep the steps
You get a narrated whiteboard video, a written step-by-step solution you can check line by line, and PDF notes to revise from later.
Calculus topics covered
Limits & continuity
Algebraic limits, one-sided limits, L’Hôpital’s rule and continuity.
Derivatives
Product, quotient and chain rules, implicit and logarithmic differentiation.
Applications of derivatives
Related rates, optimisation, curve sketching, linear approximation.
Integrals
Riemann sums, the Fundamental Theorem of Calculus, area and volume.
Techniques of integration
Substitution, by parts, trig substitution, partial fractions, improper integrals.
Sequences & series
Convergence tests, power series, Taylor and Maclaurin series.
Multivariable calculus
Partial derivatives, gradients, double and triple integrals, line integrals.
Differential equations
Separable and first-order linear ODEs, slope fields, growth and decay.
Sample question walkthrough
Calculus 2 style · Integration by parts
Evaluate ∫₀¹ x eˣ dx.
- The integrand is a product of a polynomial and an exponential, which suggests integration by parts: ∫u dv = uv − ∫v du.
- Choose u = x (it gets simpler when differentiated) and dv = eˣ dx. Then du = dx and v = eˣ.
- ∫x eˣ dx = x eˣ − ∫eˣ dx = x eˣ − eˣ + C = eˣ(x − 1) + C.
- Apply the limits: [eˣ(x − 1)]₀¹ = e¹(0) − e⁰(−1) = 0 + 1 = 1.
Answer: ∫₀¹ x eˣ dx = 1
The video explains the LIATE rule of thumb for choosing u, and shows how to check the antiderivative by differentiating it back.
Getting the most out of a worked solution
Pause the video once the method is named and try to finish the problem yourself. If you get stuck, play the next step only. This turns a passive explanation into active practice — the habit that actually raises exam marks.
Keep the PDF notes from each problem in one folder by topic. Before a midterm, those notes become a personal set of worked examples covering exactly the questions you found hard.
Related free maths tool
FAQ
Can it solve problems with graphs or shaded regions?
Yes. Upload the figure with the question and the video redraws the region, labels the bounds and sets up the integral from it — useful for area between curves and volumes of revolution.
Does it show which convergence test to use for a series?
Yes. It explains why a particular test fits the series (for example, factorials suggest the ratio test) before applying it, and states the conclusion clearly.
Does it cover multivariable and vector calculus?
It covers common Calculus 3 problems: partial derivatives, gradients, tangent planes, double and triple integrals including polar, cylindrical and spherical coordinates, and line integrals.
How is this different from a symbolic calculator?
A calculator gives you the result. Doubtclip explains the reasoning — why this substitution, why these limits — in a narrated video, which is what you need when the exam asks you to show your working.
Is it free to use?
New accounts can try a few doubt videos for free; after that it runs on paid plans listed on the pricing page. The derivative and integral calculator linked above is free.
Keep exploring
Stuck on a calculus problem?
Snap it — get the method explained step by step on a whiteboard, with notes to revise from.