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IntegrationQuestion and Answers: Page 196

Question Number 79607 Answers: 0 Comments: 1

Solve this ∫_ (((x−yz))/((x^2 +y^2 −2xyz)^(3/2) ))dz

$S o l v e t h i s$ $\int_{} \frac{(x - y z)}{{(x^{2} + y^{2} - 2 x y z)}^{3 / 2}} d z$

Question Number 79580 Answers: 0 Comments: 5

does this matter reasonable ∫ sin^x (x) dx ?

$does this matter reasonable$ $\int \sin^{x} (x) dx ?$

Question Number 79612 Answers: 1 Comments: 0

∫ (dx/((√(x ))((x)^(1/(4 )) +1)^(10) )) = ?

$\int \frac{dx}{\sqrt{x} {(\sqrt[4]{x} + 1)}^{10}} = ?$

Question Number 79531 Answers: 0 Comments: 1

∫^1 _0 ((ln((1/x)+x))/(x^2 +1))dx ?

${\int_{0}}^{1} \frac{\ln (\frac{1}{x} + x)}{x^{2} + 1} dx ?$

Question Number 79528 Answers: 0 Comments: 0

find ∫_0 ^∞ e^(−x^3 ) cos(x^2 )dx

$f i n d \int_{0}^{\infty} e^{- x^{3}} c o s (x^{2}) d x$

Question Number 79527 Answers: 0 Comments: 1

find ∫_0 ^∞ e^(−x^3 ) dx

$f i n d \int_{0}^{\infty} e^{- x^{3}} d x$

Question Number 79520 Answers: 1 Comments: 2

Question Number 79516 Answers: 0 Comments: 3

Question Number 79500 Answers: 1 Comments: 0

∫(cot^2 x+cot^4 x)dx

$\int (\cot^{2} x + \cot^{4} x) d x$

Question Number 79485 Answers: 1 Comments: 0

∫(tan^2 x+tan^4 x)dx

$\int (\tan^{2} x + \tan^{4} x) d x$

Question Number 79413 Answers: 0 Comments: 1

Question Number 79373 Answers: 0 Comments: 0

find ∫_0 ^∞ e^(−(x^3 +(1/x^3 ))) dx

$f i n d \int_{0}^{\infty} e^{- (x^{3} + \frac{1}{x^{3}})} d x$

Question Number 79352 Answers: 1 Comments: 2

∫(dx/(1−(√(cos(x)))))

$\int \frac{d x}{1 - \sqrt{c o s (x)}}$

Question Number 79325 Answers: 0 Comments: 2

Convergence of : 1) I=∫_1 ^( ∞) ((e^(−t/5) ∣sin(lnt)∣)/((t−1)^(3/2) ))dt 2) I=∫_1 ^∞ ((√(lnx))/((x−1)(√x)))dx

$C o n v e r g e n c e o f :$ $1) I = \int_{1}^{\infty} \frac{e^{- t / 5} ∣ s i n (l n t) ∣}{{(t - 1)}^{3 / 2}} d t$ $2) I = \int_{1}^{\infty} \frac{\sqrt{l n x}}{(x - 1) \sqrt{x}} d x$

Question Number 79222 Answers: 0 Comments: 3

∫_0 ^1 (x^n /(Σ_(k=0) ^(n−1) x^k ))dx=?

$\int_{0}^{1} \frac{x^{n}}{\underset{k = 0}{\sum^{n - 1}} x^{k}} d x = ?$

Question Number 79187 Answers: 0 Comments: 0

∫_0 ^π ((cos (nx)−cos (nα))/(cos (x)−cos (α))) dx

$\underset{0}{\int^{π}} \frac{\cos (n x) - \cos (n α)}{\cos (x) - \cos (α)} d x$

Question Number 79186 Answers: 1 Comments: 0

∫_(−1) ^1 ((cos (x))/(1+e^(1/x) )) dx ?

$\underset{- 1}{\int^{1}} \frac{\cos (x)}{1 + e^{\frac{1}{x}}} d x ?$

Question Number 79128 Answers: 1 Comments: 4

Find out ∫_0 ^1 ln(1−t+t^2 )dt Then deduce the value of A=Σ_(n=1) ^∞ (1/(n(n+1) (((2n+1)),(n) )))

$F i n d o u t \int_{0}^{1} l n (1 - t + t^{2}) d t$ $T h e n d e d u c e t h e v a l u e o f A = \underset{n = 1}{\sum^{\infty}} \frac{1}{n (n + 1) (\begin{matrix} 2 n + 1 \\ n \end{matrix})}$

Question Number 79100 Answers: 0 Comments: 1

calculate ∫_0 ^∞ (((−1)^x^2 )/((x^2 −x+1)^3 ))dx

$c a l c u l a t e \int_{0}^{\infty} \frac{{(- 1)}^{x^{2}}}{{(x^{2} - x + 1)}^{3}} d x$

Question Number 79096 Answers: 1 Comments: 1

calculate ∫_0 ^∞ ((ln(x))/((1+x)^3 ))dx

$c a l c u l a t e \int_{0}^{\infty} \frac{l n (x)}{{(1 + x)}^{3}} d x$

Question Number 79095 Answers: 0 Comments: 1

find A_n =∫_0 ^∞ ((sin(x)sin(2x)....sin(nx))/x^n )dx with n≥2 integr

$f i n d A_{n} = \int_{0}^{\infty} \frac{s i n (x) s i n (2 x) . . . . s i n (n x)}{x^{n}} d x w i t h n ⩾ 2 i n t e g r$

Question Number 79094 Answers: 1 Comments: 0

find I_(a,b) =∫_0 ^∞ ((sin(ax)sin(bx))/x^2 )dx witha>0 and b>0

$f i n d I_{a, b} = \int_{0}^{\infty} \frac{s i n (a x) s i n (b x)}{x^{2}} d x w i t h a > 0 a n d b > 0$

Question Number 79093 Answers: 0 Comments: 0

find f(λ) =∫_0 ^∞ e^(−λx^2 ) ch(x^2 +λ)dx with λ>0

$f i n d f (λ) = \int_{0}^{\infty} e^{- λ x^{2}} c h (x^{2} + λ) d x w i t h λ > 0$

Question Number 79092 Answers: 0 Comments: 0

find ∫_(−∞) ^(+∞) ((e^(−x^2 ) arctan(x^2 +1))/(x^2 +1))dx

$f i n d \int_{- \infty}^{+ \infty} \frac{e^{- x^{2}} a r c t a n (x^{2} + 1)}{x^{2} + 1} d x$

Question Number 79091 Answers: 0 Comments: 0

calculate ∫_0 ^∞ ((e^(−x^2 ) arctan(x))/x)dx

$c a l c u l a t e \int_{0}^{\infty} \frac{e^{- x^{2}} a r c t a n (x)}{x} d x$

Question Number 79086 Answers: 0 Comments: 2

if:∫cos(f(x))dx=g(x) ∫sin(f(x))dx=? (use g(x))

$if : \int \cos (f (x)) dx = g (x)$ $\int \sin (f (x)) dx = ? (use g (x))$

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