TS EAMCET · Maths · Indefinite Integration
If and then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
I6=∫x6sinxdx =−x6cosx+∫6x5cosxdx =−x6cosx+6(x5sinx−∫5x4sinxdx) I6+30I4=−x6cosx+6x5sinx ∴I4+12I2=−x4cosx+4x3sinx ∴I6−360I2= (30x4−x6)cosx+(−120x3+6x5)sinx ∴f(1)+f(1)=29−114=−85
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 area (in sq. units) enclosed by the curves \(y=2 x-x^2\) and \(y=x^2-2 x-6\) isTS EAMCET 2020 Easy
- The lines of the form \(x \cos \phi+y \sin \phi=P\) are chords of the hyperbola \(4 x^2-y^2=4 a^2\) which subtend a right angle at the centre of the hyperbola. If these chords touch a circle with centre at \((0,0)\), then the radius of that circle isTS EAMCET 2018 Medium
- \(\vec{a}=2 \hat{i}-\hat{j}, \vec{b}=2 \hat{j}-\hat{k}, \vec{c}=2 \hat{k}-\hat{i}\) are three vectors and \(\vec{d}\) is a unit vector perpendicular to \(\vec{c}\). If \(\vec{a}, \vec{b}, \vec{d}\) are coplanar vectors, then \(|\vec{d} \cdot \vec{b}|=\)TS EAMCET 2024 Medium
- The general solution of the differential equation \((y \sin x+y) \frac{d y}{d x}-\cos ^2 x=0\)TS EAMCET 2019 Easy
- If the lengths of tangents drawn to the circles \(x^2+y^2-8 x+40=0\) \(5 x^2+5 y^2-25 x+80=0\) \(x^2+y^2-8 x+16 y+160=0\) From the point \(P\) are equal, then \(P\) is equal toTS EAMCET 2010 Easy
- A line makes intercepts 5 and 7 on the coordinate axes. The axes are rotated through an angle \(\theta\) in the positive direction about the origin so that the line makes equal intercepts on the new axes, \(\operatorname{then}|\tan \theta|=\)TS EAMCET 2022 Medium
More PYQs from TS EAMCET
- Among the following reagents, which one can converts ester into aldehyde?TS EAMCET 2020 Hard
- Identify the correct set of \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}\) ion. (hybridisation of \(\mathrm{Co}^{3+}\), type of complex, number of unpaired electrons in the complex ion respectively)TS EAMCET 2023 Medium
- 'Natalite' is used asTS EAMCET 2005 Medium
- A committee of 12 members is to be formed from 9 women and 8 men. The number of committees in which the women are in majority isTS EAMCET 2012 Medium
- If \(P\left(\frac{\pi}{4}\right), Q\left(\frac{\pi}{3}\right)\) are two points on the circle \(x^2+y^2-2 x-2 y-1=0\), then the slope of the tangent to this circle which is parallel to the chord \(P Q\) isTS EAMCET 2024 Medium
- If a body is projected vertically from the surface of the earth with a speed of \(8000 \mathrm{~ms}^{-1}\), then the maximum height reached by the body is
(Radius of the earth \(=6400 \mathrm{~km}\) and acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )TS EAMCET 2025 Medium