Question
Evaluate $\int\sec^2(7-4\text{x})\text{dx}$

Answer

$\int\sec^2(7-4\text{x})\text{dx}$
$=\frac{\tan(7-4\text{x})}{-4}+\text{C}$ $(\because\sec^2\text{x}=\tan\text{x}+\text{C})$

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

Similar questions

Does there exist a function which is continuous everywhere but not differentiable mat exactly two points? Justify your answer.
$\text{If A} = \begin{bmatrix} 2 & 3 \\ 5 & -2 \\ \end{bmatrix}, \text{then write A}^{-1}. $
What different values of $a$ function $f(x)=a x+b$ is decreasing when $x \in R$.
Evaluate: $\int\limits_2^3\frac{1}{\text{x}}\text{dx}.$
A pair of dice is rolled. Find the probability of getting a doublet.
If $x+y=\left[\begin{array}{ll}2 & 1 \\ 1 & 2\end{array}\right]$ and $2 x-y=\left[\begin{array}{ll}1 & 2 \\ 2 & 1\end{array}\right]$ then find the value of $x$.
If $\overrightarrow{\text{a}}$and$\overrightarrow{\text{b}}$ are two unit vectors such that $\overrightarrow{\text{a}}$+ $\overrightarrow{\text{b}}$is also a unit vector, then find the angle between $\overrightarrow{\text{a}}$and $\overrightarrow{\text{b}}$.
Three coins are tossed simultaneously. Consider the event E three heads or three tails, F at least two heads and G at most two heads. Of the pairs (E, F), (E, G) and (F, G), which are independent? which are dependent?
A trust invested some money in two type of bonds. The first bond pays 10% interest and second bond pays 12% interest. The trust received ₹ 2800 as interest. However, if trust had interchanged money in bonds, they would have got ₹ 100 less as interest. Using matrix method, find the amount invested by the trust.
In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspapers. A student is selected at random. If she reads Hindi newspaper, find the probability that she reads English newspaper.