Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx`

1 Answer

Answer :

Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx` A. `-(pi)/(sqrt(2))` B. `(pi)/(2)` C. `-(pi)/(2)` D.

Related questions

Description : Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2`

Last Answer : Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2` A. `-pi log 2` B. `pi log 2` C. `(pi)/(2) log 2` D.

Description : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`

Last Answer : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`

Description : Evaluate : `int_(pi/3)^(pi/4)(tanx+cotx)^2dx`

Last Answer : Evaluate : `int_(pi/3)^(pi/4)(tanx+cotx)^2dx`

Description : Evaluate: (i) `intsecxlog(secx+tanx) dx` (ii) `intcos e c xlog(cos e c x-cotx) dx`

Last Answer : Evaluate: (i) `intsecxlog(secx+tanx) dx` (ii) `intcos e c xlog(cos e c x-cotx) dx`

Description : Evaluate: `int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx`

Last Answer : Evaluate: `int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx` A. `(pi(a^(2) +b^(2)))/(4a^(3)b^(3))` B. ` ... )+b^(2)))/(4a^(2)b^(2))` C. None of the above D.

Description : `int_0^a(dx)/(sqrt(a x-x^2))`

Last Answer : `int_0^a(dx)/(sqrt(a x-x^2))`

Description : `int(sec^(2)x)/(sqrt(tanx))dx`

Last Answer : `int(sec^(2)x)/(sqrt(tanx))dx`

Description : integrate `int_0^(2pi) e^x . sin (pi/4 + x/2) dx`

Last Answer : integrate `int_0^(2pi) e^x . sin (pi/4 + x/2) dx`

Description : prove that `int_0^oo x^2/((x^2+a^2)(x^2+b^2))dx=pi/(2(a+b))`

Last Answer : prove that `int_0^oo x^2/((x^2+a^2)(x^2+b^2))dx=pi/(2(a+b))`

Description : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`

Last Answer : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`

Description : `int_(0)^(pi//4) sqrt(cot x dx) =?`

Last Answer : `int_(0)^(pi//4) sqrt(cot x dx) =?` A. `(Pi sqrt(2))/(4)+(1)/(sqrt(2)) log (sqrt(2)-1)` B. `(- ... (pisqrt(2))/(4) -(1)/(sqrt(2))log (sqrt(2)-1)` D.

Description : `int_(0)^(pi//2) sqrt(1- cos 2x) dx`

Last Answer : `int_(0)^(pi//2) sqrt(1- cos 2x) dx`

Description : `int_(0)^(pi//2) sqrt(1- cos 2x) dx`

Last Answer : `int_(0)^(pi//2) sqrt(1- cos 2x) dx`

Description : `int_(0)^(pi//6) sqrt(1-sin 2x) dx`

Last Answer : `int_(0)^(pi//6) sqrt(1-sin 2x) dx`

Description : Evaluate: `int(2x+5)/(sqrt(x^2+2x+5)) dx`

Last Answer : Evaluate: `int(2x+5)/(sqrt(x^2+2x+5)) dx`

Description : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`

Last Answer : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`

Description : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`

Last Answer : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`

Description : Evaluate: `int(x-5) sqrt(x^2+x) dx`

Last Answer : Evaluate: `int(x-5) sqrt(x^2+x) dx`

Description : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`

Last Answer : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`

Description : Evaluate: `int1/(sqrt(4x^2-9)) dx`

Last Answer : Evaluate: `int1/(sqrt(4x^2-9)) dx`

Description : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) dx`

Last Answer : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) dx`

Description : Evaluate: `int1/(sqrt(4x^2-9)) dx`

Last Answer : Evaluate: `int1/(sqrt(4x^2-9)) dx`

Description : Evaluate: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`

Last Answer : Evaluate: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`

Description : Evaluate : `int_0^1x(1-x)^5dx`

Last Answer : Evaluate : `int_0^1x(1-x)^5dx`

Description : The minimum distance between the curves `y=tanx, AA x in (-(pi)/(2),(pi)/(2)) and (x-2-(pi)/(4))^(2)+y^(2)=1` is

Last Answer : The minimum distance between the curves `y=tanx, AA x in (-(pi)/(2),(pi)/(2)) and (x-2-(pi)/(4))^(2)+y^(2 ... )-1` B. `sqrt(5)+1` C. `sqrt(2)-1` D. 2`

Description : Evaluate :`int_(-pi//4)^(pi//4) |sin x|dx`

Last Answer : Evaluate :`int_(-pi//4)^(pi//4) |sin x|dx`

Description : Evaluate :` int_(-pi//2)^(pi//2) |sin x|dx`

Last Answer : Evaluate :` int_(-pi//2)^(pi//2) |sin x|dx`

Description : `intsqrt(cotx) dx`

Last Answer : `intsqrt(cotx) dx`

Description : `int(cotx)/(log(sinx)dx`

Last Answer : `int(cotx)/(log(sinx)dx`

Description : `int1/(cos^2x(1-tanx)^2) dx`

Last Answer : `int1/(cos^2x(1-tanx)^2) dx`

Description : If `f(x)=pi((sqrt(x+7)-4)/(x-9))` then the range of function `y = sin(2 f(x))` is :

Last Answer : If `f(x)=pi((sqrt(x+7)-4)/(x-9))` then the range of function `y = sin(2 f(x))` is : A. `[0,1]` B. `( ... 0,(1)/(sqrt(2)))uu(1/(sqrt(2)),1]` D. `(0,1]`

Description : \( Q: \int_{\frac{5 \pi}{4}}^{\frac{3 \pi}{2}} \frac{\frac{x}{x}-\frac{x \cdot x}{2}+\frac{(x 2)^{2}}{24}-\frac{x^{4} x 2}{720}+\cdots \infty}{\sqrt{\frac{1-\cos 2 x}{8}}} \)

Last Answer : (a) \( \infinite \) (b) \( \ln 2 \) (C) 0 (d) \( -2 \ln \sqrt{2} \) (e) \( e^{2} \)

Description : Evaluate: `lim_(x rarr a) (sqrt(x+a)-sqrt(2a))/(x-a)`.

Last Answer : Evaluate: `lim_(x rarr a) (sqrt(x+a)-sqrt(2a))/(x-a)`.

Description : Evaluate: `lim_underset(x rarr 0) (sqrt(1+x+x^(2)+x^(3))-1)/(x)`.

Last Answer : Evaluate: `lim_underset(x rarr 0) (sqrt(1+x+x^(2)+x^(3))-1)/(x)`.

Description : Evaluate: `lim_(x rarr 0) (sqrt(5+x)-sqrt(5-x))/(sqrt(10+x)-sqrt(10-x))`.

Last Answer : Evaluate: `lim_(x rarr 0) (sqrt(5+x)-sqrt(5-x))/(sqrt(10+x)-sqrt(10-x))`.

Description : Evaluate: `lim_(x rarr 2) (x-2)/(sqrt(x+2)-2)`.

Last Answer : Evaluate: `lim_(x rarr 2) (x-2)/(sqrt(x+2)-2)`.

Description : Evaluate: `lim_(x rarr 5) sqrt(25-x^(2))`.

Last Answer : Evaluate: `lim_(x rarr 5) sqrt(25-x^(2))`.

Description : How can you evaluate 1.25 + sqrt (144) in LISP? a) 1.25+sqrt (1.44) b) (1.25+sqrt (1.44)) c) (+1.25 sqrt (1.44) d) All of the mentioned

Last Answer : c) (+1.25 sqrt (1.44)

Description : `int_(0)^(1//2) (x sin^(-1)x)/(sqrt(1-x^(2)))dx=?`

Last Answer : `int_(0)^(1//2) (x sin^(-1)x)/(sqrt(1-x^(2)))dx=?` A. `(pi sqrt(3))/(12)+(1)/(2)` B. `(pisqrt(3))/(12)-(1)/(2)` C. `(pisqrt(3))/(12) -(1)/(2)` D.

Description : `int (1)/(sqrt(sin^(3) x cos x))dx =?`

Last Answer : `int (1)/(sqrt(sin^(3) x cos x))dx =?` A. `-2sqrt(tan x) +c` B. `(2)/(sqrt(tan x)) +c` C. `(-2)/(sqrt(tan x)) +c` D.

Description : `" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?`

Last Answer : `" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?` A. `-(5pi)/(4)` B. `(pi)/(4)` C. `-(pi)/(4)` D.

Description : `int_(0)^(1) (x)/(sqrt(1+x^(2)))dx=?`

Last Answer : `int_(0)^(1) (x)/(sqrt(1+x^(2)))dx=?` A. `sqrt(2)-1` B. `sqrt(2)` C. `-sqrt(2)` D.

Description : `int_(0)^(1) sqrt((1-x)/(1+x)) dx=?`

Last Answer : `int_(0)^(1) sqrt((1-x)/(1+x)) dx=?` A. `(pi)/(2)+1` B. `(pi)/(2) -1` C. None of these D.

Description : `int(sin x)/( sqrt(1+cos x))dx=?`

Last Answer : `int(sin x)/( sqrt(1+cos x))dx=?` A. `sqrt(1+cos x) +c` B. `-2sqrt(1+ cos x)+c` C. `2sqrt(1+ cos x) +c` D.

Description : `int_(0)^(1) x sqrt((1-x^(2))/(1+x^(2)))dx`

Last Answer : `int_(0)^(1) x sqrt((1-x^(2))/(1+x^(2)))dx`

Description : `int_(0)^(2) sqrt((2+x)/(2-x)) dx`

Last Answer : `int_(0)^(2) sqrt((2+x)/(2-x)) dx`

Description : `int_(0)^(1//sqrt(2)) (sin^(-1))/((1-x^(2))^(3//2))dx`

Last Answer : `int_(0)^(1//sqrt(2)) (sin^(-1))/((1-x^(2))^(3//2))dx`

Description : `int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx`

Last Answer : `int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx`

Description : `int_(0)^(1) (x sin^(-1)x)/(sqrt(1+2x)^(2))dx`

Last Answer : `int_(0)^(1) (x sin^(-1)x)/(sqrt(1+2x)^(2))dx`

Description : `int_(-1)^(2) sqrt(5x+6)dx`

Last Answer : `int_(-1)^(2) sqrt(5x+6)dx`