Home
Class 12
MATHS
Prove : int sin x sin 2x cos 3x dx ...

Prove :
` int sin x sin 2x cos 3x dx = 1/4 ((sin 2x)/2 + (sin 4x)/4 - (sin 6x)/6- x ) + c `

Answer

Step by step text solution for Prove : int sin x sin 2x cos 3x dx = 1/4 ((sin 2x)/2 + (sin 4x)/4 - (sin 6x)/6- x ) + c by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answer Type)|5 Videos

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Integar Answer Type)|5 Videos

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Short Answer Type Questions|42 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos

  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Prove : int cos x cos 2 x cos 3 x dx = 1/4 ( x+ (sin 2x)/2 + (sin 4x)/4 + (sin6x)/6 ) + c

Prove : int sin x cos 2 x cos 3 x dx = - 1/4 ((cos 2x)/2 - (cos 4x)/4 + (cos 6x)/6) + c

Knowledge Check

  • int sin x/(sin 4x)dx

    A
    `1/8log |(1+sinx)/(1-sinx)|+1/(4sqrt2)log |(1+sqrt 2sin x)/(1-sqrt2sin x)|+c`
    B
    `1/8 log |(1-sinx)/(1+sin x)|+1/(4sqrt2)log |(1+sqrt2 sin x)/(1-sqrt2sinx)|+c`
    C
    `-1/8log |(1+sinx)/(1-sinx)|+1/(4sqrt2)log |(1+sqrt2sin x)/(1-sqrt2 sin x)+c`
    D
    `-1/8 log |(1+sinx )/(1-sinx)|-1/4sqrt2 log|(1+sqrt2sin x)/(1-sqrt2sinx)|+c`

  • int (4 + 5 sin x)/cos^2 x dx =

    A
    4 tan x - sec x + c
    B
    4 tan x + 5 sec x + c
    C
    9 tan x + c
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    Prove : int sin^(2) x cos 2x dx = 1/4 ( sin 2 x - (sin 4x)/4 - x) + c

    Prove : int sin x sin 2x sin 3x dx = - 1/48 ( 6 cos 2x + 3 cos 4x - 2 cos 6 x) + c

    Show that : int cos 2x cos 4x dx = (sin 6x)/12 + (sin 2x)/4 + c

    int sin 2x sin^(4)x dx

    Evaluate : int sin 3x sin 4x dx

    int (sin 6x- sin 2x )/(cos 6x - cos 2x) dx

    Home
    Profile