Put, 3 + tan x = t⇒ dt = sec2x dxUsing this, we have above integral= log(t) + C= log (3 + tan x) + C

Q7 of 45 Page 1

Evaluate:

Put, 3 + tan x = t

⇒ dt = sec²x dx

_{Using this, we have above integral}

= log(t) + C

= log (3 + tan x) + C

Write the value of the determinant

Using principal value, evaluate the following:

Iffind the value of k.

If the binary operation * on the set of integers Z, is defined by a *b = a + 3b², then find the value of 2 * 4.