AP EAMCET · Maths · Indefinite Integration
\(\int \frac{\sec ^2 x}{\sin ^7 x} d x-\int \frac{7}{\sin ^7 x} d x=\)
- A \(\frac{1}{\sin ^6 x \cos x}+c\)
- B \(\frac{\tan x}{\sin ^8 x}+c\)
- C \(\sin ^8 x \cos x+c\)
- D \(\sec x \tan ^7 x+c\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{\sin ^6 x \cos x}+c\)
Step-by-step Solution
Detailed explanation
\( \int \frac{\sec ^2 x}{\sin ^7 x} d x-\int \frac{7}{\sin ^7 x} d x \) Let \( I_1 = \int \frac{\sec ^2 x}{\sin ^7 x} d x \). Using integration by parts: \( u = \frac{1}{\sin ^7 x} = \csc ^7 x \), \( dv = \sec ^2 x d x \). \( du = -7 \csc ^7 x \cot x d x \), \( v = \tan x \).…
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
- The transformed equation of \(3 x^2-6 x y+8 y^2=8\) when the axes are rotated about the origin through an angle \(\frac{\pi}{4}\) in the positive direction, isAP EAMCET 2018 Medium
- \(\lim _{x \rightarrow 0} \frac{4^x-9^x}{x\left(4^x+9^x\right)}\) is equal toAP EAMCET 2002 Hard
- If \(f\) is continuous function and \(f(x+T)=f(x), \forall x \in R\), it is given that \(\int_0^{N T} f(t) d t=N \int_0^T f(t) d t \cdot(N\) is natural number). Then, \(\int_0^{50 \pi} \sqrt{1-\cos 2 x} d x=\)AP EAMCET 2022 Medium
- If are vectors such that and then angle between vector and isAP EAMCET 2022 Easy
- If \(P\) is a point on the equation \(\mathbf{A D}\) of the \(\triangle A B C\), and \(\angle A B P=\frac{2 B}{3}\), then \(A P\) is equal toAP EAMCET 2021 Easy
- \(\int_0^1 \frac{\log _e(1+x)}{1+x^2} d x=\)AP EAMCET 2019 Medium
More PYQs from AP EAMCET
- \(\int \frac{\cos x+x \sin x}{x(x+\cos x)} d x=\)AP EAMCET 2024 Easy
- If the binding energy of is per nucleon and that of is per nucleon. then the energy required to remove a neutron from isAP EAMCET 2019 Medium
- A line passing through and making an angle of with the positive direction of -axis meets at and . Then the value of isAP EAMCET 2022 Hard
- If a gaseous mixture consists of 3 moles of oxygen and 4 moles of argon at an absolute temperature T, then the total internal energy of the mixture is (neglect vibrational modes and R - Universal gas constant)AP EAMCET 2025 Medium
- Given that ionization potential and electron gain enthalpy of chlorine are and respectively. The electronegativity of chlorine on Mulliken scale, approximately equals toAP EAMCET 2021 Easy
- For three consecutive odd integers and , if the variable line always passes through the point , the value of equalsAP EAMCET 2021 Medium