AP EAMCET · Maths · Indefinite Integration
\(\int \frac{d x}{(\sin x)(\cos x)}\) is equal to
- A \(\log |\sin x|+c\)
- B \(\log |\cos x|+c\)
- C \(\log |\tan x|+c\)
- D \(\log |\operatorname{cosec} x|+c\)
Answer & Solution
Correct Answer
(C) \(\log |\tan x|+c\)
Step-by-step Solution
Detailed explanation
\[ \text { Let } \begin{aligned} I & =\int \frac{d x}{\sin x \cos x} \\ I & =\int \frac{\sec ^2 x d x}{\tan x} \end{aligned} \] Put \(\tan x=t\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If one focus of a hyperbola is , the equation of its directrix is and its eccentricity , then the co-ordinates of its vertex isAP EAMCET 2021 Medium
- \(\begin{aligned} & \lim _{n \rightarrow \infty} n\left[\frac{1}{\left(3 n^2+8 n+4\right)}+\frac{1}{3 n^2+16 n+16}+\ldots\right. \\ & \left.+\frac{1}{15 n^2}\right]=\end{aligned}\)AP EAMCET 2018 Medium
- If \(\int \frac{1+\cos (4 x)}{\cot (x)-\tan (x)} d x=k \cos (4 x)+c\), thenAP EAMCET 2020 Hard
- If the eccentricity of a hyperbola is then the eccentricity of its conjugate hyperbola isAP EAMCET 2018 Easy
- The combined equation of the bisectors of the angles between the lines joining the origin to the points of intersection of the curve \(x^2+y^2+x y+x+3 y+1=0\) and the line \(x+y+2=0\) isAP EAMCET 2024 Medium
- \(\frac{1}{3.7}+\frac{1}{7.11}+\frac{1}{11.15}+\ldots\) to 50 terms \(=\)AP EAMCET 2024 Hard
More PYQs from AP EAMCET
- What is the nature of the graph between momentum of a body and its kinetic energy?AP EAMCET 2021 Easy
- The radius of a circle whose center lies in the fourth quadrant and touches each of the three lines \(x=0, y=0\) and \(3 x+4 y-12=0\), is.... units.AP EAMCET 2021 Medium
- \(\begin{aligned} & \int \frac{d x}{(2 \sin x+\sec x)^4}=A(1+\tan x)^{-5} \\ & +B(1+\tan x)^{-6}+C(1+\tan x)^{-7}+k, \text { then } \\ & A+B+C=\end{aligned}\)AP EAMCET 2018 Medium
- The radius and the height of a right circular solid cone are measured as 7 feet each. If there is an error of 0.002 ft for every feet in measuring them, then the error in the total surface area of the cone (in sq. ft ) isAP EAMCET 2025 Medium
- A solution is prepared by adding 124 g of ethylene glycol (molar mass \(=62 \mathrm{~g}\) \(\mathrm{mol}^{-1}\) ) to \(x \mathrm{~g}\) of water to get 10 m solution. What is the value of \(x\) (in g )?AP EAMCET 2025 Medium
- There are 4 hotels in a town. If 3 men check into the hotels in a day then the probability that each checks into a different hotel isAP EAMCET 2022 Easy