Arts (English Medium) Class 12 - CBSE Question Bank Solutions

Integrate the function in `e^x (1 + sin x)/(1+cos x)`.

Integrate the function in `e^x (1/x - 1/x^2)`.

Integrate the function in `((x- 3)e^x)/(x - 1)^3`.

Integrate the function in e^2x sin x.

Integrate the function in `sin^(-1) ((2x)/(1+x^2))`.

`intx^2 e^(x^3) dx` equals: 

`int e^x sec x (1 +   tan x) dx` equals:

if `x^m y^n = (x + y)^(m + n)`, prove that `(d^2y)/(dx^2)= 0`

Find the differential equation representing the family of curves `y = ae^(bx + 5)`. where a and b are arbitrary constants.

If A is a square matrix of order n × n such that  \[|A| = \lambda\] , then write the value of |−A|.

If A and B are square matrices of order 2, then det (A + B) = 0 is possible only when

If A is a non-singular square matrix such that \[A^{- 1} = \begin{bmatrix}5 & 3 \\ - 2 & - 1\end{bmatrix}\] , then find \[\left( A^T \right)^{- 1} .\]