int(sinx)/(3+4cos^2x)\ dx a. log(3+4cos...

`int(sinx)/(3+4cos^2x)\ dx` a. `log(3+4cos^2x)+C` (b) `1/(2sqrt(3))tan^(-1)((cosx)/(sqrt(3)))+C` (c) `-1/(2sqrt(3))tan^(-1)((2"\ cos"x)/(sqrt(3)))+C` (d) `1/(2sqrt(3))tan^(-1)((2"\ cos"x)/(sqrt(3)))+C`

Text Solution

AI Generated Solution

Topper's Solved these Questions

INCREASING AND DECREASING FUNCTION
RD SHARMA ENGLISH|Exercise All Questions|232 Videos
INVERSE TRIGONOMETRIC FUNCTION
RD SHARMA ENGLISH|Exercise All Questions|531 Videos

Similar Questions

Explore conceptually related problems

int_0^(pi//2)1/(2+cos\ x)dx equals a. 1/3tan^(-1)(1/(sqrt(3))) b. 2/(sqrt(3))tan^(-1)(1/(sqrt(3))) c. sqrt(3)tan^(-1)(sqrt(3)) d. 2sqrt(3)tan^(-1)sqrt(3)

int1/(7+5cosx)\ dx= 1/(sqrt(6))tan^(-1)(1/(sqrt(6))tanx/2)+C (b) 1/(sqrt(3))tan^(-1)(1/(sqrt(3))tanx/2)+C (c) 1/4tan^(-1)(tanx/2)+C (d) 1/7tan^(-1)(tanx/2)+C

d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))]= (a) 1/(2(1+x)sqrt(x)) (b) 3/((1+x)sqrt(x)) 2/((1+x)sqrt(x)) (d) 3/(2(1+x)sqrt(x))

d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b) 3/((1+x)sqrt(x)) (c) 2/((1+x)sqrt(x)) (d) 3/(2(1+x)sqrt(x))

The value of tan{cos^(-1)1/(5sqrt(2))-sin^(-1)4/(sqrt(17))} is (sqrt(29))/3 (b) (29)/3 (c) (sqrt(3))/(29) (d) 3/(29)

A normal to parabola, whose inclination is 30^(@) , cuts it again at an angle of (a) tan^(-1)((sqrt(3))/(2)) (b) tan^(-1)((2)/(sqrt(3))) (c) tan^(-1)(2sqrt(3)) (d) tan^(-1)((1)/(2sqrt(3)))

Evaluate each of the following: cot^(-1)(1/(sqrt(3)))-cos e c^(-1)(-2)+sec^(-1)(2/(sqrt(3))) cot^(-1){2"cos"(sin^(-1)((sqrt(3))/2))}+ cos e c^(-1)(-2/(sqrt(3)))+2cot^(-1)(-1) tan^(-1)(1/(sqrt(3)))+cot^(-1)(1/(sqrt(3)))+tan^(-1)(sin(-pi/2))

Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , |x|<1/sqrt3 w.r.t tan^(-1)(x/sqrt(1-x^2))

The value of sin ^(-1) (-(1)/(sqrt2)) + cos ^(-1) (-(1)/(2)) - tan ^(-1) (-sqrt3) + cot ^(-1) (-(1)/(sqrt3)) is

RD SHARMA ENGLISH-INDEFINITE INTEGRALS-All Questions

int1/(1-cosx-sinx)\ dx= log|1+cotx/2|+C (b) log|1-tanx/2|+C (c) log|...
Text Solution
|
int(x+3)/((x+4)^2)e^x\ dx= a. (e^x)/(x+4)+C (b) (e^x)/(x+3)+C (c) 1/(...
Text Solution
|
int(sinx)/(3+4cos^2x)\ dx a. log(3+4cos^2x)+C (b) 1/(2sqrt(3))tan^(-1...
Text Solution
|
int e^x ((1-sinx)/(1-cosx)) dx= (A) e^xtan(x/2)+C (B) e^xcot(x/...
Text Solution
|
int2/((e^x+e^(-x))^2)\ dx (a) ( e^(-x))/(e^x+e^(-x))+C (b) -1/(e^x+e^...
Text Solution
|
int(e^x(1+x))/(cos^2(x e^x))\ dx= (a) 2(log)ecos(x e^x)+C (b) sec(x e...
Text Solution
|
Evaluateint(sin^2x)/(cos^4x)\ dx= (a)1/3tan^2x+C (b) 1/2tan^2x+C (...
Text Solution
|
The primitive of the function f(x)=(1-1/(x^2))a^(x+1/x)\ ,\ a >0 is ...
Text Solution
|
The value of int1/(x+xlogx)\ dx is (a)1+logx (b) x+logx (c) xlog(1...
Text Solution
|
intsqrt(x/(1-x))\ dx is equal to (a)sin^(-1)sqrt(x)+C (b) sin^(-1){...
Text Solution
|
Evaluate: inte^x(f(x)+f^(prime)(x))dx=e^xf(x)+C
Text Solution
|
The value of int(sinx+cosx)/(sqrt(1-sin2x))\ dx is equal to (a)sqrt(s...
Text Solution
|
If intxsinx\ dx=-xcosx+alpha, then alpha is equal to (a)sinx+C (b) c...
Text Solution
|
int(cos2x-1)/(cos2x+1)\ dx= (a)tanx-x+C (b) x+tanx+C (c) x-tanx+C...
Text Solution
|
int(cos2x-cos2theta)/(cosx-costheta)\ dx is equal to (a)2\ (sinx+xcos...
Text Solution
|
int(x^9dx)/((4x^2+1)^6) is equal to (a)1/(5x)(4+1/(x^2))^(-5)+c (b...
Text Solution
|
int(x^3)/(sqrt(1+x^2))\ dx=a(1+x^2)^(3setminus2)+bsqrt(1+x^2)+C , then...
Text Solution
|
int(x^3)/(x+1)\ dx is equal to (a)x+(x^2)/2+(x^3)/3-log|1-x|+C (b) ...
Text Solution
|
Ifint(dx)/((x+2)(x^2+1))=aln(1+x^2)+btan^(-1)x+1/5ln|x+2|+C Then a=1/...
Text Solution
|
Evaluate: int1/(sqrt(x)+sqrt(x+1))\ dx
Text Solution
|