Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 1678

Question Number 35244 Answers: 0 Comments: 1

if y=((sin^(−1) x)/(1−x^2 )) show that (1−x^2 )(dy/dx) −xy=1

$i f y = \frac{{s i n}^{- 1} x}{1 - x^{2}} s h o w t h a t$ $(1 - x^{2}) \frac{d y}{d x} - x y = 1$

Question Number 35242 Answers: 1 Comments: 1

find ∫_0 ^π ((xdx)/(1+sinx))

$f i n d \int_{0}^{π} \frac{x d x}{1 + s i n x}$

Question Number 35241 Answers: 2 Comments: 6

calculate ∫_0 ^π ((x dx)/(3 +cosx)) .

$c a l c u l a t e \int_{0}^{π} \frac{x d x}{3 + c o s x} .$

Question Number 35238 Answers: 0 Comments: 1

study the convergence of ∫_1 ^(+∞) ((e^(−3x) −e^(−2x) )/x^2 )dx

$s t u d y t h e c o n v e r g e n c e o f$ $\int_{1}^{+ \infty} \frac{e^{- 3 x} - e^{- 2 x}}{x^{2}} d x$

Question Number 35237 Answers: 0 Comments: 1

study the convergence of ∫_0 ^∞ ((e^(−x) −e^(−x^2 ) )/x)dx .

$s t u d y t h e c o n v e r g e n c e o f$ $\int_{0}^{\infty} \frac{e^{- x} - e^{- x^{2}}}{x} d x .$

Question Number 35236 Answers: 0 Comments: 0

letf(x)=arctan(1+ix) with ∣x∣<1 developp f at integr serie.

$l e t f (x) = a r c t a n (1 + i x) w i t h ∣ x ∣< 1$ $d e v e l o p p f a t i n t e g r s e r i e .$

Question Number 35235 Answers: 0 Comments: 2

let f(x)= e^(−2x) arctanx 1) calculate f^((n)) (x) 2) find f^((n)) (0) 3) developp f at integr serie

$l e t f (x) = e^{- 2 x} a r c t a n x$ $1) c a l c u l a t e f^{(n)} (x)$ $2) f i n d f^{(n)} (0)$ $3) d e v e l o p p f a t i n t e g r s e r i e$

Question Number 35234 Answers: 0 Comments: 1

let f(x) =e^(−x^n ) with n fromN developp f at integr serie .

$l e t f (x) = e^{- x^{n}} w i t h n f r o m N$ $d e v e l o p p f a t i n t e g r s e r i e .$

Question Number 35232 Answers: 0 Comments: 0

what is the value of cos z and sinz if z=re^(iθ) r>0 ?

$w h a t i s t h e v a l u e o f c o s z a n d s i n z$ $i f z = {r e}^{i θ} r > 0 ?$

Question Number 35231 Answers: 0 Comments: 1

what is the value of cos(1+i) and cos(1−i)?

$w h a t i s t h e v a l u e o f c o s (1 + i) a n d$ $c o s (1 - i) ?$

Question Number 35229 Answers: 1 Comments: 2

find the value of integral ∫_0 ^∞ e^(−(2+ia)^2 t^2 ) dt with a from R ∣a∣<1.

$f i n d t h e v a l u e o f i n t e g r a l$ $\int_{0}^{\infty} e^{- {(2 + i a)}^{2} t^{2}} d t w i t h a f r o m R ∣ a ∣< 1 .$

Question Number 35228 Answers: 0 Comments: 2

find the value of integral ∫_0 ^∞ e^(−px) ((sin(qx))/(√x))dx with p>0 and q>0

$f i n d t h e v a l u e o f i n t e g r a l$ $\int_{0}^{\infty} e^{- p x} \frac{s i n (q x)}{\sqrt{x}} d x w i t h p > 0 a n d q > 0$

Question Number 35226 Answers: 0 Comments: 4

1) calculate f(a) = ∫_0 ^π (dx/(a sin^2 x +cos^2 x)) with a>0 2) find the value of g(a) = ∫_0 ^π ((sin^2 x)/((a sin^2 x +cos^2 x)^2 ))dx

$1) c a l c u l a t e f (a) = \int_{0}^{π} \frac{d x}{a {s i n}^{2} x + {c o s}^{2} x}$ $w i t h a > 0$ $2) f i n d t h e v a l u e o f g (a) = \int_{0}^{π} \frac{{s i n}^{2} x}{{(a {s i n}^{2} x + {c o s}^{2} x)}^{2}} d x$

Question Number 35225 Answers: 0 Comments: 4

1) find f(a) = ∫_0 ^(2π) (dt/(a cos^2 t + sin^2 t)) with a≠0 2) find g(a) = ∫_0 ^(2π) ((cos^2 t)/((a cos^2 t +sin^2 t)^2 ))dt

$1) f i n d f (a) = \int_{0}^{2 π} \frac{d t}{a {c o s}^{2} t + {s i n}^{2} t} w i t h a \neq 0$ $2) f i n d g (a) = \int_{0}^{2 π} \frac{{c o s}^{2} t}{{(a {c o s}^{2} t + {s i n}^{2} t)}^{2}} d t$

Question Number 35224 Answers: 1 Comments: 0

calculate ∫_0 ^(2π) ((1+2cost)/(5+4cost))dt

$c a l c u l a t e \int_{0}^{2 π} \frac{1 + 2 c o s t}{5 + 4 c o s t} d t$

Question Number 35223 Answers: 1 Comments: 0

what is the value of cos(i+j) with i^2 =−1 and j =e^(i((2π)/3)) ?

$w h a t i s t h e v a l u e o f c o s (i + j) w i t h i^{2} = - 1 a n d$ $j = e^{i \frac{2 π}{3}} ?$

Question Number 35222 Answers: 1 Comments: 1

let ∣x∣<1 prove that arctanx =(i/2)ln(((i+x)/(i−x)))

$l e t ∣ x ∣< 1 p r o v e t h a t$ $a r c t a n x = \frac{i}{2} l n (\frac{i + x}{i - x})$

Question Number 35221 Answers: 0 Comments: 0

let z from C prove that e^z = Σ_(n=0) ^∞ (z^n /(n!)) .

$l e t z f r o m C p r o v e t h a t$ $e^{z} = \sum_{n = 0}^{\infty} \frac{z^{n}}{n!} .$

Question Number 35220 Answers: 0 Comments: 1

let z from C and f(z)= ((2z)/((z−1)(2z +1))) developp f at integr serie.

$l e t z f r o m C a n d f (z) = \frac{2 z}{(z - 1) (2 z + 1)}$ $d e v e l o p p f a t i n t e g r s e r i e .$

Question Number 35219 Answers: 0 Comments: 0

let z ∈C prove that cosz =ch(iz) and sinz=sh(iz)

$l e t z \in C p r o v e t h a t$ $c o s z = c h (i z) a n d s i n z = s h (i z)$

Question Number 35218 Answers: 0 Comments: 0

prove that ∫_0 ^∞ (t^(a−1) /(1+t))dt =(π/(sin(πa))) that we know 0<a<1 .

$p r o v e t h a t \int_{0}^{\infty} \frac{t^{a - 1}}{1 + t} d t = \frac{π}{s i n (π a)}$ $t h a t w e k n o w 0 < a < 1 .$

Question Number 35217 Answers: 0 Comments: 1

calculate ∫_0 ^∞ ((x sin(2x))/(x^2 +4))dx

$c a l c u l a t e \int_{0}^{\infty} \frac{x s i n (2 x)}{x^{2} + 4} d x$

Question Number 35216 Answers: 0 Comments: 0

study the function f_n (x)=arcos(ncosx) n≥1 integr.

$s t u d y t h e f u n c t i o n$ $f_{n} (x) = a r c o s (n c o s x) n ⩾ 1 i n t e g r .$

Question Number 35215 Answers: 0 Comments: 1

find the value of ∫_(−∞) ^(+∞) ((cosx +cos(2x))/(x^2 +9))dx

$f i n d t h e v a l u e o f \int_{- \infty}^{+ \infty} \frac{c o s x + c o s (2 x)}{x^{2} + 9} d x$

Question Number 35214 Answers: 0 Comments: 0

let a>0 b ∈C and Re(b)>0 cslculate ∫_(−∞) ^(+∞) (e^(iax) /(x−ib))dx and ∫_(−∞) ^(+∞) (e^(iax) /(x+ib))dx

$l e t a > 0 b \in C a n d R e (b) > 0$ $c s l c u l a t e \int_{- \infty}^{+ \infty} \frac{e^{i a x}}{x - i b} d x a n d \int_{- \infty}^{+ \infty} \frac{e^{i a x}}{x + i b} d x$

Question Number 35213 Answers: 0 Comments: 0

find the values of ∫_0 ^∞ cos(λx^2 )dx and ∫_0 ^∞ sin(λx^2 )dx with λ>0 . 2) find the values of ∫_0 ^∞ cos(x^2 )dx and ∫_0 ^∞ sin(x^2 )dx( integrals of fresnel)

$f i n d t h e v a l u e s o f \int_{0}^{\infty} c o s (λ x^{2}) d x a n d$ $\int_{0}^{\infty} s i n (λ x^{2}) d x w i t h λ > 0 .$ $2) f i n d t h e v a l u e s o f \int_{0}^{\infty} c o s (x^{2}) d x a n d$ $\int_{0}^{\infty} s i n (x^{2}) d x (i n t e g r a l s o f f r e s n e l)$

Pg 1673 Pg 1674 Pg 1675 Pg 1676 Pg 1677 Pg 1678 Pg 1679 Pg 1680 Pg 1681 Pg 1682

Terms of Service

Contact: info@tinkutara.com