integration

Integration by Partial Fraction Formula

Here you will learn integration by partial fraction formula and integration of irrational functions. Let’s begin – Integration by Partial Fraction Formula (i) Integration of Rational Functions S.No form of rational function form of partial fraction 1 \(px^2+qx+r\over {(x-a)(x-b)(x-c)}\) \(A\over {x-a}\) + \(B\over {x-b}\) + \(C\over {x-c}\) 2 \(px^2+qx+r\over {{(x-a)}^2(x-b)}\) \(A\over {x-a}\) + \(B\over {(x-a)}^2\) …

Integration by Partial Fraction Formula Read More »

Integration Formulas for Class 12 – Indefinite Integration

Here you will learn Integration integration formulas for class 12. Let’s begin – Integration Formula for Class 12 (i)  \(\int\) \({(ax+b)}^n\) dx = \({(ax+b)}^{n+1}\over {a(n+1)}\) + C ; n \(\ne\) -1 (ii)  \(\int\) \(dx\over {ax+b}\) dx = \(1\over a\) ln|ax+b| + C (iii)  \(\int\) \(e^{ax+b}\) dx = \({1\over {a}}e^{ax+b}\) + C or \(\int\) \(e^x\) = …

Integration Formulas for Class 12 – Indefinite Integration Read More »

Properties and Formulas for Definite Integrals

Here, you will learn formulas for definite integrals and properties of definite integrals with examples. Let’s begin – A definite integral is denoted by \(\int_{a}^{b}\) f(x)dx which represent the algebraic area bounded by the curve y = f(x), the ordinates x = a, x = b and the x-axis. Properties and Formulas for Definite Integrals …

Properties and Formulas for Definite Integrals Read More »