Integral CalculusThis classic book is a part of bestseller series in mathematics by eminent mathematician, Shanti Narayan. It is an exhaustive foundation text on Integral Calculus and primarily caters to the undergraduate courses of B.Sc and BA. |
Contents
1 | 1 |
Integration of Irrational Functions | 5 |
7 | 61 |
positive integer | 68 |
Integration of Algebraic Rational Functions | 78 |
4 | 85 |
6 | 93 |
3 | 99 |
Definite Integrals | 213 |
Beta and Gamma Functions | 265 |
1 | 275 |
Areas of Plane Regions | 291 |
4 | 303 |
Rectification Lengths of Plane Curves | 320 |
Volumes and Surfaces of Revolution | 343 |
Centre of Gravity Moment of Inertia | 393 |
Integration of Trigonometric Functions | 107 |
ax² + bx + c Ax² + Bx + C | 127 |
7 | 129 |
8 | 142 |
2 | 163 |
Multiple Integrals | 419 |
213 | 557 |
227 | 669 |
Other editions - View all
Common terms and phrases
2x dx a² b² ANSWERS area bounded asymptote Avadh ax² Bilaspur bx dx c₁ cardioid cos² cos³ cosec cosh curve definite integral differential equation dt dt dx dx dx is convergent dx x² dy dx ellipse EXERCISES Find the area finite function ƒ ƒ Garhwal given equation given integral Hence improper integral Indore integrand intrinsic equation Jabalpur Jiwaji Kanpur Kumaon latus rectum limit log sec log x² loop nx dx ordinates parabola positive integer Prove Putting Ravishankar reduction formula region required area Rohilkhand Sagar sec² Show sin² sin³ singular solution sinh Solve substitution tan¯¹ tan¹ tan² variable Vikram volume x-axis x² dx y₁ π π πα Ꮎ ᏧᎾ