HSC Science (General) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

Choose the correct options from the given alternatives :

`int f x^x (1 + log x)*dx`

Choose the correct options from the given alternatives :

`2 int (cos^2x - sin^2x)/(cos^2x + sin^2x)*dx` =

Choose the correct options from the given alternatives : 

`int dx/(cosxsqrt(sin^2x - cos^2x))*dx` =

`int logx/(log ex)^2*dx` = ______.

Choose the correct options from the given alternatives :

`int (cos2x - 1)/(cos2x + 1)*dx` =

Choose the correct options from the given alternatives :

`int (e^(2x) + e^-2x)/e^x*dx` =

Integrate the following with respect to the respective variable : `(x - 2)^2sqrt(x)`

Integrate the following with respect to the respective variable:

`x^7/(x + 1)`

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

x³ + y³ = 4ax

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

Ax² + By² = 1

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

y = A cos (log x) + B sin (log x)

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

y² = (x + c)³

Integrate the following w.r.t.x: `(3x + 1)/sqrt(-2x^2 + x + 3)`

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

y = Ae^5x + Be^-5x 

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

(y - a)² = 4(x - b)

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

y = a + `"a"/"x"`

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

y = c₁e^2x + c₂e^5x 

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

c₁x³ + c₂y² = 5

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

y = e^−2x (A cos x + B sin x)

Form the differential equation of family of lines having intercepts a and b on the co-ordinate ares respectively.