無料AI微積分ソルバー
微積分は他のどの科目よりも多くの学生を躓かせる数学の分野です。無料AI微積分ソルバーは、導関数、積分、極限、級数の問題に即座にステップバイステップの解答を提供します。
微積分の問題をアップロード
手書き方程式、教科書のスクリーンショット、印刷されたワークシートに対応
Derivatives Made Simple
The AI solver handles every derivative rule you will encounter in a standard calculus sequence. Power rule, product rule, quotient rule, chain rule, implicit differentiation, logarithmic differentiation, and derivatives of trigonometric, exponential, and inverse functions.
Integration Step by Step
Integration problems require pattern recognition that many students find difficult. The AI solver identifies whether a problem calls for basic antiderivatives, u-substitution, integration by parts, partial fractions, trigonometric substitution, or numerical methods.
Limits and Continuity
The solver evaluates limits using direct substitution, factoring, conjugate multiplication, L'Hopital's rule, and squeeze theorem. It determines one-sided limits, identifies discontinuities, and classifies them as removable, jump, or infinite.
Differential Equations
First-order ODEs are solved using separation of variables, integrating factors, exact equations, and substitution methods. The solver also handles second-order linear ODEs with constant coefficients.
Series and Sequences
For Calculus II content, the solver handles convergence tests including the divergence test, integral test, comparison test, ratio test, root test, and alternating series test. Taylor and Maclaurin series expansions are generated with the general term formula and radius of convergence.