HSC Arts (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

The approximate value of tan (44°30'), given that 1° = 0.0175^c, is ______.

Find the approximate value of the function f(x) = `sqrt(x^2 + 3x)` at x = 1.02.

Solve the following : Find the approximate value of cos^–1 (0.51), given π = 3.1416, `(2)/sqrt(3)` = 1.1547.

In ΔABC, prove the following:

`(cos A)/a + (cos B)/b + (cos C)/c = (a^2 + b^2 + c^2)/(2abc)`

Evaluate the following : `int x^2.log x.dx`

Evaluate the following:

`int x^2 sin 3x  dx`

Evaluate the following:

`int x tan^-1 x . dx`

Evaluate the following : `int x^2tan^-1x.dx`

Evaluate the following : `int x^3.tan^-1x.dx`

Evaluate the following:

`int sec^3x.dx`

Evaluate the following : `int x.sin^2x.dx`

Evaluate the following : `int x^3.logx.dx`

Evaluate the following : `int e^(2x).cos 3x.dx`

Evaluate the following: `int x.sin^-1 x.dx`

Evaluate the following : `int x^2*cos^-1 x*dx`

Evaluate the following : `int log(logx)/x.dx`

Evaluate the following : `int (t.sin^-1 t)/sqrt(1 - t^2).dt`

Evaluate the following : `int cos sqrt(x).dx`

Evaluate the following : `int sin θ.log (cos θ).dθ`

Evaluate the following : `int x.cos^3x.dx`