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JEE Advanced (IIT-JEE)

Integral Calculus

No official chapter weightage

Indefinite and definite integrals, areas under simple curves, and first-order differential equations.

∫abf(x) dx=∫abf(a+b−x) dx,∫u dv=uv−∫v du\int_a^b f(x)\,dx = \int_a^b f(a + b - x)\,dx, \quad \int u\,dv = uv - \int v\,du

What this unit covers

  • Indefinite integrals of standard functions; integration by parts, by substitution and by partial fractions

  • Definite integrals as the limit of sums and their properties; fundamental theorem of integral calculus

  • Areas bounded by simple curves

  • Forming differential equations; separation of variables; homogeneous and linear first-order equations

Other units in JEE Advanced (IIT-JEE)