NCERT Solutions for Class 12 Maths

Sets Class 11 Maths

Class 12 Maths Chapter 7

Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type –   \int{\frac{dx}{x^2 \pm a^2}}  \, \int{\frac{dx}{\sqrt{x^2 \pm a^2}}} \, \int{\frac{dx}{a^2 - x^2}} \, \int{\frac{dx}{ax^2 +bx + c}} \, \int{\frac{dx}{\sqrt{ax^2 +bx + c}}} \, \int{\frac{px + q}{ax^2 +bx + c}}  dx\,  \int{\frac{px + q}{\sqrt{ax^2 +bx + c}}}  dx \int{\sqrt{a^2 \pm x^2}} dx\, \int{\sqrt{x^2 - a^2}} dx \, \int{\sqrt{ax^2+bx+c}} dx \, \int{(px + q){\sqrt{ax^2+bx+c}}} dx to be evaluated. Definite integrals as a limit of a sum. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
Sets Class 11 Maths

Class 12 Maths Chapter 10

Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors, scalar triple product.
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