Class 12MathematicsChapter 7: Integrals

Key Formulas

Summary of key formulas for integrals.

Concept	Formula
Basic power rule	$\int x^n\,dx = \dfrac{x^{n+1}}{n+1} + C$
Integration by parts	$\int uv\,dx = u\int v\,dx - \int\left(u'\int v\,dx\right)dx$
Fundamental Theorem	$\int_a^b f(x)\,dx = F(b) - F(a)$
King's Property	$\int_0^a f(x)\,dx = \int_0^a f(a-x)\,dx$

7.6 Definite Integrals

Fundamental theorem of calculus, properties of definite integrals, and worked examples.

1.1 Electric Charge

Quantisation and conservation of electric charge.