6️⃣ COMMON INTEGRALS (keep this table) ∫dx/(x²+a²) = (1/a) arctan(x/a)+C ∫dx/(x²–a²) = (1/2a) ln| (x‑a)/(x+a) |+C ∫dx/√(a²‑x²) = arcsin(x/a)+C ∫dx/√(x²‑a²) = ln|x+√(x²‑a²)|+C
| Choosing the wrong axis of rotation → wrong radius/height. | Sketch the solid, label radii and heights; decide whether disks or shells give an easier integral. | | | integral calculus by das and mukherjee pdf
Integral Calculus by Das and Mukherjee is a popular textbook on integral calculus, widely used by students and professionals in the field of mathematics, physics, and engineering. The book provides an in-depth coverage of integral calculus, including definite and indefinite integrals, applications of integrals, and differential equations. 6️⃣ COMMON INTEGRALS (keep this table) ∫dx/(x²+a²) =