Home
Class 11
PHYSICS
Integrate the following : int(sin 6x+c...

Integrate the following :
`int(sin 6x+cos 5x+sec^(2)x)dx`

Text Solution

AI Generated Solution

To integrate the expression \( \int (\sin(6x) + \cos(5x) + \sec^2(x)) \, dx \), we will break it down into parts and integrate each term separately. ### Step-by-Step Solution: 1. **Separate the integral**: \[ \int (\sin(6x) + \cos(5x) + \sec^2(x)) \, dx = \int \sin(6x) \, dx + \int \cos(5x) \, dx + \int \sec^2(x) \, dx \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (1)|3 Videos

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (2)|7 Videos

  • GRAVITATION

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Chapter Practise Test|16 Videos

Similar Questions

Explore conceptually related problems

Integrate the following: int(sin2x)/sqrt(1+cos^2x)dx

Evaluate the following integrals : int (sin x+cos x+x^(5//2))dx.

Knowledge Check

  • Integrate the following functions with respect to x (a) int (5x^2 + 3x -2) dx (b) int (4sin x-(2)/(x)) dx (c) int (dx)/(4x+5) (d) int (6x +2)^(3) dx

    A
    `(5x^2)/(3) + (3x^(2))/ (2) - 2x + c`
    B
    `(x^3)/(3) + (3x^(2))/ (2) - 2x + c`
    C
    `(5x^3)/(3) + (3x^(2))/ (2) - 2x + c`
    D
    `(5x^3)/(3) + (x^(2))/ (2) - 2x + c`

    • Similar Questions

    Explore conceptually related problems

    Integrate the following: int{(5cos^(3)x+2sin^(3)x)/(2sin^(2)x*cos^(2)x)+sqrt(1+sin2x)+(1+2sin x)/(cos^(2)x)+(1-cos2x)/(1+cos2x)}dx

    Evaluate the following integrals. int tanx sec^(6) x dx

    Evaluate the following integrals: int (1)/(sin^(2)x cos^(2)x) dx

    Integrate the following: int(dx)/(5-13sinx) (ii) int(dx)/(13+3cosx+4sinx) (iii) int(dx)/(a^(2)-b^(2)cos^(2)x)(a^(2)gtb^(2)) (iv) int(dx)/(a^(2)-b^(2)cos^(2)x)(a^(2)ltb^(2)) (v) int(sin2x+sin4x-sin6x)/(1+cos2x+cos4x+cos6x)dx

    Evaluate the following integrals: int ( cos 2x+2sin^(2)x)/(cos^(2)x) dx

    Evaluate the following integrals: int(2+3cos x)/(sin^(2)x)dx

    Evaluate the following integrals. int sin x cos x (sin 2x + cos 2x) dx

    Home
    Profile