Class 12 Maths Chapter 7 Integrals – Exercise 7.3 NCERT Solutions Introduction Exercise 7.3 focuses on integration using partial fractions. Students learn how to decompose rational functions into simpler fractions and integrate them easily. This technique is vital for solving complex integrals, especially in algebraic and calculus problems. Formulas Used Partial Fraction Decomposition: For rational function P ( x ) Q ( x ) , where degree of P ( x ) < degree of Q ( x ) , P ( x ) Q ( x ) = A ( x − a ) + B ( x − b ) + … Integration of Simple Fractions: ∫ 1 x − a d x = ln ∣ x − a ∣ + C ∫ 1 ( x − a ) n d x = ( x − a ) 1 − n 1 − n + C , n ≠ 1 Students Frequently Make Mistakes Forgetting to check degree condition before decomposition. Errors in solving coefficients A , B , C . Skipping modulus in logarithmic integrals. Confusing repeated linear factors with distinct ones. Forgetting constant of integration + C . NCERT Questions with Step‑by‑Step Solutions (10) Q1. Evaluate ∫ 1 x 2 −...