Home
Class 12
MATHS
int sin 5x cos 3x dx=...

`int sin 5x cos 3x dx=`

A

`(1)/(2)[(cos 2x)/(2)+(1)/(8) cos 8x]+c`

B

`(1)/(2)[-(cos 2x)/(2)+(1)/(8) cos 8x]+c`

C

`(1)/(2)[-(cos 2x)/(2)-(1)/(8) cos 8x]+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|132 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

int sin x sin (cos x) dx

Evaluate int e^(x) sin 3x cos 3x dx

Knowledge Check

  • int sin 4x cos 3x dx =

    A
    `(1)/(2) `(cos 7x + cos x ) + c
    B
    `(1)/(14)` ( cos 7x + `(1)/(2)` cos x ) + c
    C
    `- (1)/(14)` (cos 7x + 7 cos x ) + c
    D
    `(1)/(14)` (cos 7x + 7 cosx ) + c

  • int sin^(3)x cos x dx=

    A
    `(1)/(2) sin^(4)x+c`
    B
    `(1)/(4) sin^(4)x+c`
    C
    `(1)/(3) sin^(4)x+c`
    D
    none

  • int (1)/(sin x sqrt(" sin x cos x")) dx =

    A
    `sqrt(tan x)` + c
    B
    `2 sqrt(tan x ) + c `
    C
    `- 2 sqrt( cot x ) + C `
    D
    `sqrt(cot x ) ` + c

    • Similar Questions

    Explore conceptually related problems

    Evaluate the following integrals int e^(x) sin 3 x cos 3x dx

    int 3^(x) cos 5x dx =

    int e^(x) sin 3x cos 2x dx=

    int_0^(x/2) (cos^3 x)/(sin x+ cos x) dx=

    int_(-pi//2)^(pi//2) sin^(2) x cos^(2) x(sin x + cos x) dx=

    Home
    Profile