Logiciel libre de géométrie, d'analyse et de simulation multiplateforme par Yves Biton

Accueil – Exercices en ligne – Exercices en anglais – Haut niveau

Integral calculation and applications

modification jeudi 1er octobre 2026.


Direct calculation of integrals

Step calculation of integrals

Calculation of integrals using linearity property

Area calculation using integrals

Direct calculation of integrals

Calculus of integral by area calculation

Integral from c to d of f(x)= ax+b with c ≤ d

Integral of k/(ax+b)² on [0  ; p]

Integral of kx/(ax²+b)² on [0  ; p]

Integral of e^x on [0  ; a*ln(b)]

Integral of e^(ax) on [0  ; 1]

Integral of e^(-ax) on [0  ; 1]

Integral of xe^(ax²)

Integral of √(e^x) on [0  ; a]

Integral of 1/√(e^x) on [0  ; a]

Integral of e^(kax) on [0  ; 1/a]

Integral of k/(ax+b) on [0  ; 1]

Integral of 1/e^(kax) on [0  ; 1/a]

Integral of x+a/x on [0  ; e^k]

Integral of e^(ax)+e^(-ax) on [0  ; 1]

Integral of k/(ax+b)² on [0  ; p]

Integral of kx/(ax²+b)² on [0  ; p]

Integral of (ae^(2x)+b) /e^x on [0  ; 1]

Integral of e^x/(a*e^x+b) on [0  ; ln(2)]

Integral of k*e^(ax)+p/e^(ax) on [0  ; 1]

Integral of ±u’/u with u(t)=sin(t) + k or u(t)=cos(t) + k

Integral of u’*u^p with u(x)=cos(x) or u(x)=sin(x)

Integral of acos(x)+bsin(x) on [0  ; d] with d=pi/2, pi/6, pi/4 or pi/3

Computation of the integral of f from 0 to ln(2) with f(x)=e^x+b+c*e^x/(e^x+k)

Guided computation after changing the formula of the integral of f from 0 to ln(2) with f(x)=(αe^2x+βe^x+γ)/(e^x+k)

Step calculation of integrals

Calculation of an integral after modifying formula (1)

Stepwise integral calculation (1)

Stepwise integral calculation (2)

Stepwise integral calculation (3)

Calculation of integrals using linearity property

Computing an integral using linearity (1)

Computing an integral using linearity (2)

Area calculation using integrals

General computation of the area between a curve and the x-axis

Simple computation of the area between a curve and the x-axis (1)

Simple computation of the area between a curve and the x-axis (2)

Computing the area between a curve and the x-axis (1)

Computing the area between a curve and the x-axis (2)

Computation of the area between a curve and the x-axis (3) (Negative function)

Calculation of the area delimited by a parabola and a segment

Two-step computation of the area bounded by a curve and one of its tangents