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4. Applicationsof the Integrals______ ____∫ √ x² ± a² dx ∫ √x² - a² dx,__________________∫ √ax²+bx+c dx ∫ (px+q)√ax²+bx+c dx,∫ dx , ∫ dx ,a + b cosx a + b sinx∫ dx , ∫ x² + 1 dx,a + b cosx + c sinx x 4 + kx² + 1x² - 1 dx,x 4 + kx² + 1& integration of inversetrigonometric functions.Use of definite integrals in findingthe area under simple curves,especially lines, areas ofcircles/parabolas/ ellipses (instandard form only), areabetween the two above saidcurves (The region should beclearly identifiable).Unit-IVVectors & Three Dimensional Geometry1. Vectors Vectors and scalars, magnitudeand direction of a vector,Direction Cosines/ratios ofvectors, types of vectors (equal,unit, zero, parallel and collinearvectors). Position vector of apoint, negative of a vector,components of a vector, additionof vectors, multiplication of a