HSC Commerce: Marketing and Salesmanship 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Evaluate the following.

`intx^3 e^(x^2)dx`

Evaluate `int(1 + x + x^2/(2!))dx`.

Evaluate the following.

`intx^3/(sqrt(1 + x^4))dx`

Evaluate.

`int(5x^2 - 6x + 3)/(2x - 3)  dx`

Find the marginal revenue if the average revenue is 45 and elasticity of demand is 5.

A manufacturing company produces x items at the total cost of Rs (180 + 4x). The demand function of this product is P = (240 − x). Find x for which profit is increasing.

Find the elasticity of demand, if the marginal revenue is 50 and price is Rs 75.

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

Integrate the following w.r.t. x : `(12x + 3)/(6x^2 + 13x - 63)`

Integrate the following w.r.t. x : `(2x)/(4 - 3x - x^2)`

Integrate the following w.r.t. x : `(x^2 + x - 1)/(x^2 + x - 6)`

Integrate the following w.r.t. x:

`(6x^3 + 5x^2 - 7)/(3x^2 - 2x - 1)`

Integrate the following w.r.t. x : `(12x^2 - 2x - 9)/((4x^2 - 1)(x + 3)`

Integrate the following w.r.t. x : `(1)/(x(x^5 + 1)`

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

Integrate the following w.r.t. x : `2^x/(4^x - 3 * 2^x - 4`

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

Integrate the following w.r.t. x : `(5x^2 + 20x + 6)/(x^3 + 2x ^2 + x)`

Integrate the following w.r.t. x : `(1)/(x(1 + 4x^3 + 3x^6)`

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