MHT CET · Maths · Indefinite Integration
\(\int \frac{\sin 7 x}{\cos 9 x \cos 2 x} \mathrm{~d} x\) is equal to
- A \(\log \sec (9 x)-\log \sec (2 x)+c\), where \(c\) is the constant of integration
- B \(\log \sec (9 x)+\log \sec (2 x)+c, \quad\) where \(c\) is the constant of integration
- C \(\frac{1}{9} \log \sec (9 x)-\frac{1}{2} \log \sec (2 x)+c\), where \(c\) is the constant of integration
- D \(\frac{1}{9} \log \sec (9 x)+\frac{1}{2} \log \sec (2 x)+c\), where \(c\) is the constant of integration
Answer & Solution
Correct Answer
(C) \(\frac{1}{9} \log \sec (9 x)-\frac{1}{2} \log \sec (2 x)+c\), where \(c\) is the constant of integration
Step-by-step Solution
Detailed explanation
\( \int \frac{\sin (9x - 2x)}{\cos 9x \cos 2x} \mathrm{~d} x \) \( \int \frac{\sin 9x \cos 2x - \cos 9x \sin 2x}{\cos 9x \cos 2x} \mathrm{~d} x \)
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 \(\mathrm{P}(\mathrm{X}=2)=0.3, \mathrm{P}(\mathrm{X}=3)=0.4, \mathrm{P}(\mathrm{X}=4)=0.3\), then the variance of random variable X isMHT CET 2024 Easy
- If \(8 \mathrm{f}(x)+6 \mathrm{f}\left(\frac{1}{x}\right)=x+5\) and \(y=x^2 \mathrm{f}(x)\), then \(\frac{\mathrm{d} y}{\mathrm{~d} x}\) at \(x=-1\) isMHT CET 2024 Hard
- If \(\bar{a}, \bar{b}, \bar{c}\) are the position vectors of the points \(\mathrm{A}(1,3,0), \mathrm{B}(2,5,0), \mathrm{C}(4,2,0)\)
respectively and \(\bar{c}=t_{1} \bar{a}+t_{2} \bar{b}\), then value of \(t_{1} t_{2}=\)MHT CET 2020 Medium - If \(f(x)=\frac{4^{x-\pi}+4^{\pi-x}-2}{(x-\pi)^2}\) for \(\neq \pi\), is continuous at \(x=\pi\), then \(=\mathrm{k} \quad\) for \(=\pi\)
\(\mathrm{k}=\)MHT CET 2021 Hard - The joint equation of pair of lines through the origin and making an equilateral triangle with the line \(y=5\) isMHT CET 2022 Easy
- A fair coin is tossed 99 times. If X is the number of times head occur then \(\mathrm{P}[\mathrm{X}=\mathrm{r}]\) is maximum when \(\mathrm{r}=\)MHT CET 2025 Medium
More PYQs from MHT CET
- The value of \(\int_0^1 \tan ^{-1}\left(\frac{2 x-1}{1+x-x^2}\right) d x\) isMHT CET 2021 Hard
- Which process does the following equation represent?
\(\begin{array}{l} C _6 H _{12} O _6+2 NAD +2 ADP -2 Pi \longrightarrow \\ CH _3- CO - COOH +2 NADH _2+2 ATP \end{array}\)MHT CET 2015 Hard - Out of the following molecules the one which represents the polar molecule is
MHT CET 2025 Easy - Which among the following salts turns red litmus blue in its aqueous solution?MHT CET 2025 Easy
- The rate law for a reaction between reactants \(A, B\) and \(C\) is \(r=K[A][B][C]^2\), if concentration of \(A\) is halved, then rate of reactionMHT CET 2022 Medium
- Two long straight wires A and B carrying equal current 'I' were kept parallel to each other at distance ' d ' apart. Magnitude of magnetic force experienced by length \(L\) of wire \(A\) is ' \(F\) '. If the distance between the wires is made half and currents are doubled, force \(F_2\) on length \(L\) of wire A will beMHT CET 2025 Medium