Download App

Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals2 Marks
Question
Find the integral: $\int \sec x ( \sec x + \tan x ) d x.$
✓

Answer

Let I = $\int \sec x ( \sec x + \tan x ) d x$
$= \int \left( \sec ^ { 2 } x + \sec x \tan x \right) d x$
$= \int \sec ^ { 2 } x d x + \int \sec x \tan x d x$
= tan x + secx + C

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks" from Integrals→Integrals — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The following defines a relation on N:
xy is square of an integer, $\text{x, y}\in\text{N}$
Determine which of the above relations are reflexive, symmetric and transitive.
→
To promote making of toilets for women, an organisation tried to generate awarness through (i) house calls, (ii) letters, and (iii) announcements. The cost for each mode per attempt is given below:

  1. ₹ 50
  2. ₹ 20
  3. ₹ 40

The number of attempts made in three villages X, Y and Z are given below:

  (i) (ii) (iii)
X 400 300 100
Y 300 250 75
Z 500 400 150

Find the total cost incurred by the organisation for three villages separately, using matrices.

→
Evaluate the definite integral in Exercise:
$\int\limits_{0}^{\frac{\pi}{4}}\tan\text{x}\ \text{dx}$
→
Find the vector equation one of following plane.
x + y - z = 5
→
Find the inverse of the matrix $\begin{bmatrix} \cos\theta & \sin\theta \\ -\sin\theta & \cos\theta \end{bmatrix}$.
→
Evaluate ${P\left( {A \cup B} \right)}$ if 2P(A) = P (B) = $\frac{5}{{13}}$ and $P\left( {A|B} \right) = \frac{2}{5}$
→
Suppose that 90% of people are right-handed. What is the probability that at most of 6 of a random sample of 10 people are right-handed?
→
Find the general solution of the differential equation $\frac{d y}{d x}=\frac{1+y^{2}}{1+x^{2}}$
→
Evaluate the following integrals:
$\int\frac{(1+\sqrt{\text{x}})^2}{\sqrt{\text{x}}}\text{dx}$
→
Discuss the continuity and differntiability of f(x) = |log |x||.
→