Science (English Medium) कक्षा १२ - CBSE Question Bank Solutions for Mathematics

Integrate the functions:

tan²(2x – 3)

Integrate the functions:

sec²(7 – 4x)

Integrate the functions:

`(sin^(-1) x)/(sqrt(1-x^2))`

Integrate the functions:

`(2cosx - 3sinx)/(6cos x + 4 sin x)`

Integrate the functions:

`1/(cos^2 x(1-tan x)^2`

Integrate the functions:

`cos sqrt(x)/sqrtx`

Integrate the functions:

`sqrt(sin 2x) cos 2x`

Integrate the functions:

`cos x /(sqrt(1+sinx))`

Integrate the functions:

cot x log sin x

Integrate the functions:

`sin x/(1+ cos x)`

Integrate the functions:

`(sin x)/(1+ cos x)^2`

Integrate the functions:

`1/(1 + cot x)`

Integrate the functions:

`1/(1 - tan x)`

Integrate the functions:

`sqrt(tanx)/(sinxcos x)`

Integrate the functions:

`(1+ log x)^2/x`

Integrate the functions:

`((x+1)(x + logx)^2)/x`

Integrate the functions:

`(x^3 sin(tan^(-1) x^4))/(1 + x^8)`

`(10x^9 + 10^x log_e 10)/(x^10 + 10^x)  dx` equals:

`int (dx)/(sin^2 x cos^2 x)` equals:

Maximise Z = x + 2y subject to the constraints

`x + 2y >= 100`

`2x - y <= 0`

`2x + y <= 200`

Solve the above LPP graphically