HSC Commerce (English Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Evaluate the following.

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

Evaluate the following:

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

Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 12 + 10x + 25x².

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

Evaluate `int1/(x(x-1))dx` 

Evaluate:

`int(5x^2-6x+3)/(2x-3)dx`

Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 12 + 10x + 25x²

Find the rate of change of demand (x) of a commodity with respect to its price (y) if

y = 12 + 10x + 25x²

Evaluate the following

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

Find the rate of change of demand (x) of a commodity with respect to its price (y) if 

y = `12 + 10x + 25x^2`

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

Evaluate the following.

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

Evaluate the following.

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

Evaluate `int 1/(x(x-1))dx`

Evaluate.

`int (5x^2 -6x + 3)/(2x -3)dx`

Evaluate `int1/(x(x-1))dx`

Evaluate `int(5x^2-6x+3)/(2x-3) dx`

If f '(x) = 4x³ - 3x² + 2x + k, f(0) = 1 and f(1) = 4, find f(x).

Evaluate the following.

`int1/(x^2 + 4x - 5)  dx`

Evaluate the following.

`int 1/ (x^2 + 4x - 5) dx`