Home
Class 12
MATHS
Evaluate : int ( " 4+3 sin x ")/(" cos"...

Evaluate : ` int ( " 4+3 sin x ")/(" cos"^(2) x) " dx "`

Text Solution

Verified by Experts

`int (" 4+3 sin x ")/(" cos"^(2) x) " dx "`
`=int ((4)/(" cos"^(2))+(" 3sin x")/(" cos"^(2) x)) " dx "`
`=4int " sec"^(2) x dx + int " tan x . sec x dx "`
`=4. " tan x + 3 sec x+ c"`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7a|14 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7b|26 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

int (2-3 sin x)/(cos^(2) x) dx

int (3-4 sin x)/(cos^(2) x) dx=?

Evaluate : int (1)/(" sin"^(2) x " cos"^(2) x ") ") " dx "

Evaluate : int x " sin"^(3) x^(2) ." cos "x^(2) dx

Evaluate : int (sin x)/((1+cos x)(2+3 cos x)) dx

Evaluate: int(sin x)/(cos x(1+cos x))dx

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

Evaluate int(2 sin2x-cos x)/(6-cos^ (2)x-4sinx) dx .

Evaluate : int"sin"^(3) x "cos"^(4) x dx

int(sin x)/(3+4 cos^(2)x)dx = …………………