Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

integration
Asked by Kirandoon | 08 Jan, 2009, 09:01: PM
answered-by-expert Expert Answer

(sin4x / sinx) dx

= (4 sinx cosx cos2x) dx /sinx

= 4 cosx cos2x dx

=2 (cos 3x + cos x) dx

= (2 sin 3x) / 3 + 2 sinx+c

 

The following formula has been applied to get the 3rd step:

2 cos A cos B = cos (A+B) + cos (A-B)

Hence, 2cosx cos2x = cos (x+2x) + cos(x-2x) = cos 3x + cos(-x) = cos3x + cos x

Answered by | 09 Jan, 2009, 12:35: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Maths
program to find the minimum element from a list of element along with its index in the list
question image
Asked by sampabarman328 | 18 Apr, 2024, 01:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
find square root of 7+24i
Asked by tahikpreet0001 | 17 Apr, 2024, 06:41: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
if α, ß, Γ be the roots of the equation x^3+px^2+qx+r=0 then find the value of (α+ß-3Γ)(ß+Γ-3α)(α+Γ-3ß)
Asked by nitinkrjsr07082008 | 15 Apr, 2024, 11:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
ug
question image
Asked by nityaboragam | 11 Apr, 2024, 12:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
total number of three letter words formed using all the letters of the word "SHINE" is
Asked by kanhaparashar17 | 04 Apr, 2024, 12:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
find 6th term from and of the (x-1/x)⁹
Asked by dseno1741 | 29 Mar, 2024, 08:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
in exercise 1.3 1st q ii part abc is not subset of bcd but two elements are common i.e bc but in 2 question same exercise i part ab is subset of  bca how ??  
Asked by parvanipatil09 | 29 Mar, 2024, 10:12: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
find the value of x so that the vectors are (2,7,5) ,(3,-3,6) ,(x,2,-5) may be coplanar
Asked by rishithatelaprolu84 | 29 Mar, 2024, 08:32: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
binomial doubt
question image
Asked by Manjeet | 23 Mar, 2024, 09:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
pair
question image
Asked by rambabum3372 | 21 Mar, 2024, 04:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×