`int_(1)^(2) (x)/(sqrt(1+2x^(2)))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.

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

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.

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

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.

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

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.

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

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`

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

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

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

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

`int_(0)^(a) (x)/(sqrt(a^(2)-x^(2)))dx`

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

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

`int_(a)^(2a) (sqrt((a)/(x))+sqrt((x)/(a)))^(2)dx`

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

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

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

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

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

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

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

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

`int_(1)^(5) (x^(2) -2x) dx`

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

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

`"If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2),` then evaluate `int_(1)^(3) f(x) dx.`

Description : `"If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2),` then evaluate `int_(1)^(3) f(x) dx.`

Last Answer : `"If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2),` then evaluate `int_(1)^(3) f(x) dx.`

`int_(0)^(1) (1)/(x^(2) +2x+3)dx`

Description : `int_(0)^(1) (1)/(x^(2) +2x+3)dx`

Last Answer : `int_(0)^(1) (1)/(x^(2) +2x+3)dx`

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

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`

`int_(0)^(1) (1)/(1+x+2x^(2))dx`

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

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

The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is

Description : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is

Last Answer : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is A. 1 B. `-1` C. 0 D. 2

`int(2x+5)/(sqrt(x^(2)+3x+1))dx`

Description : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`

Last Answer : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`

`int(x+1)/(sqrt(2x^(2)+x-3))dx`

Description : `int(x+1)/(sqrt(2x^(2)+x-3))dx`

Last Answer : `int(x+1)/(sqrt(2x^(2)+x-3))dx`

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

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

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

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

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

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

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

`int(2x-1)/(sqrt(x^(2)-x-1))dx`

Description : `int(2x-1)/(sqrt(x^(2)-x-1))dx`

Last Answer : `int(2x-1)/(sqrt(x^(2)-x-1))dx`

`int (x^(2) +2x -5)/(sqrt(x))dx`

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

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

`int_(1)^(4) (2x^(2) +1) dx`

Description : `int_(1)^(4) (2x^(2) +1) dx`

Last Answer : `int_(1)^(4) (2x^(2) +1) dx`

`int_(0)^(pi//4) (1)/(1+cos 2x)dx`

Description : `int_(0)^(pi//4) (1)/(1+cos 2x)dx`

Last Answer : `int_(0)^(pi//4) (1)/(1+cos 2x)dx`

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

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.

`int(1)/(sqrt(2x^(2)+3x-2))dx`

Description : `int(1)/(sqrt(2x^(2)+3x-2))dx`

Last Answer : `int(1)/(sqrt(2x^(2)+3x-2))dx`

`int(1)/(sqrt(1+cos 2x))dx`

Description : `int(1)/(sqrt(1+cos 2x))dx`

Last Answer : `int(1)/(sqrt(1+cos 2x))dx`

`int sqrt(2x-1) dx`

Description : `int sqrt(2x-1) dx`

Last Answer : `int sqrt(2x-1) dx`

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

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) \( e^{2} \)

`int_(0)^(pi//2) " cosec "(x-(pi)/(3)) " cosec "(x-(pi)/(6)) dx=?`

Description : `int_(0)^(pi//2) " cosec "(x-(pi)/(3)) " cosec "(x-(pi)/(6)) dx=?`

Last Answer : `int_(0)^(pi//2) " cosec "(x-(pi)/(3)) " cosec "(x-(pi)/(6)) dx=?` A. `-log 3` B. `-2 log 3` C. `2 log 3` D.

`int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x) dx=?`

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

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

`int_(0)^(1) cot^(-1) (1-x+x^(2)) dx=?`

Description : `int_(0)^(1) cot^(-1) (1-x+x^(2)) dx=?`

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

`int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?`

Description : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?`

Last Answer : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?` A. `(pi)/(2)` B. `pi` C. `2pi` D.

`" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2),` then `int_(0)^(3) f(x) dx=?`

Description : `" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2),` then `int_(0)^(3) f(x) dx=?`

Last Answer : `" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2),` then `int_(0)^(3) f(x) dx=?` A. `(53)/(2)` B. `(55)/(2)` C. `(57)/(2)` D.

`int_(0)^(pi//4) log (1+tan x) dx =?`

Description : `int_(0)^(pi//4) log (1+tan x) dx =?`

Last Answer : `int_(0)^(pi//4) log (1+tan x) dx =?` A. `(pi)/(4) log 2` B. `(pi)/(6) log 2` C. `(pi)/(8) log 2` D.

`int_(0)^(pi//2) x sin cos x dx=?`

Description : `int_(0)^(pi//2) x sin cos x dx=?`

Last Answer : `int_(0)^(pi//2) x sin cos x dx=?` A. `(pi)/(4)` B. `(pi)/(8)` C. `(pi)/(12)` D.

`int_(0)^(1) x (1 -x)^(n) dx=?`

Description : `int_(0)^(1) x (1 -x)^(n) dx=?`

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

`int_(2)^(8) |x-5| dx=?`

Description : `int_(2)^(8) |x-5| dx=?`

Last Answer : `int_(2)^(8) |x-5| dx=?` A. 9 B. 10 C. 11 D.