KCET · Maths · Definite Integration
The value of \(\int_{-1}^1 \sin ^5 x \cos ^4 x d x\) is
- A \(-\pi / 2\)
- B \(\pi\)
- C \(\pi / 2\)
- D \(0\)
Answer & Solution
Correct Answer
(D) \(0\)
Step-by-step Solution
Detailed explanation
\(\int_{-1}^1 \sin ^5 x \cos ^4 x d x=0\)
Since it is odd function.
Since it is odd function.
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 value of \(\left|\begin{array}{lll}\sin ^2 14^{\circ} & \sin ^2 66^{\circ} & \tan 135^{\circ} \\ \sin ^2 66^{\circ} & \tan 135^{\circ} & \sin ^2 14^{\circ} \\ \tan 135^{\circ} & \sin ^2 14^{\circ} & \sin ^2 66^{\circ}\end{array}\right|\) isKCET 2023 Hard
- If \( 3 \tan ^{-1} x+\cot ^{-1}=\pi \) then \( x \) equal toKCET 2016 Easy
- Match List-I with List-II
List-I List-II a) A matrix which is not a square matrix i) Symmetric matrix b) A square matrix \(A = A'\) ii) Null matrix c) The diagonal elements of a diagonal matrix are same iii) Rectangular matrix d) A matrix which is both symmetric and skew symmetric iv) Scalar matrix KCET 2026 Easy - If \(2 \mathbf{i}+3 \mathbf{j}, \mathbf{i}+\mathbf{j}+\mathbf{k}\) and \(\lambda \mathbf{i}+4 \mathbf{j}+2 \mathbf{k}\) taken in an order are coterminous edges of a parallelopiped of volume \(2 \mathrm{cu}\) units, then value of \(\lambda\) isKCET 2011 Medium
- If \( \mathrm{P}=\left|\begin{array}{ll}x & 1 \\ 1 & x\end{array}\right| \) and \( \mathrm{Q}=\left|\begin{array}{lll}x & 1 & 1 \\ 1 & x & 1 \\ 1 & 1 & x\end{array}\right| \),then \( \frac{d Q}{d x}= \)KCET 2015 Medium
- If \(\alpha\) and \(\beta\) are different complex numbers with \(|\beta|=1\), then \(\left|\frac{\beta-\alpha}{1-\bar{\alpha} \beta}\right|\) is equal toKCET 2012 Easy
More PYQs from KCET
- Reduction of ketones cannot be carried outwith which of the following
reagents ?KCET 2017 Easy - During the adsorption of a gas on the surface of a solid, which of the following is true?KCET 2012 Easy
- Two tangent galvanometers \(A\) and \(B\) have coils of radii \(8 \mathrm{~cm}\) and \(16 \mathrm{~cm}\) respectively and resistance \(8 \Omega\) each. They are connected in parallel with a cell of emf \(4 \mathrm{~V}\) and negligible internal resistance. The deflections produced in the tangent galvanometers \(A\) and \(B\) are \(30°\) and \(60°\) respectively. If A has 2 turns, then B must haveKCET 2007 Hard
- The graph showing the concept of activation energy of enzyme is given below:

Observe the graph and choose the correct option for M and N.KCET 2025 Medium - If a germ cell in a female gonad and a germ cell in a male gonad begin undergoing meiosis simulataneously, what will be the ratio of ova and sperms produced?KCET 2005 Easy
- Which of the following hormones does not naturally occur in plants?KCET 2009 Medium