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AllQuestion and Answers: Page 1379

Question Number 68062 Answers: 0 Comments: 1

Question Number 68052 Answers: 0 Comments: 0

Question Number 68046 Answers: 1 Comments: 0

Question Number 68041 Answers: 0 Comments: 1

Question Number 68040 Answers: 1 Comments: 2

find f(a) =∫_1 ^2 arctan(x+(a/x))dx and calculate f^′ (a) at form of integral

$f i n d f (a) = \int_{1}^{2} a r c t a n (x + \frac{a}{x}) d x a n d$ $c a l c u l a t e f^{^{'}} (a) a t f o r m o f i n t e g r a l$

Question Number 68039 Answers: 0 Comments: 1

find ∫ arctan(x+(1/x))dx

$f i n d \int a r c t a n (x + \frac{1}{x}) d x$

Question Number 68038 Answers: 0 Comments: 1

calculate ∫_0 ^∞ ((arctan(x^2 −1))/(x^2 +4))dx

$c a l c u l a t e \int_{0}^{\infty} \frac{a r c t a n (x^{2} - 1)}{x^{2} + 4} d x$

Question Number 68037 Answers: 1 Comments: 0

find ∫ ((x^2 dx)/((x^3 −8)(x^4 +1)))

$f i n d \int \frac{x^{2} d x}{(x^{3} - 8) (x^{4} + 1)}$

Question Number 68036 Answers: 0 Comments: 1

let f(x) =cos(αx) ,2π periodic developp f at fourier serie. α ∈ R−Z

$l e t f (x) = c o s (α x), 2 π p e r i o d i c d e v e l o p p f a t f o u r i e r s e r i e .$ $α \in R - Z$

Question Number 68035 Answers: 0 Comments: 4

let f(x) =e^(−iαx) ,2π periodic .developp f at fourier serie.

$l e t f (x) = e^{- i α x}, 2 π p e r i o d i c . d e v e l o p p f a t f o u r i e r s e r i e .$

Question Number 68034 Answers: 0 Comments: 1

let f(x) =e^(−x) , 2π periodic developp f at fourier serie.

$l e t f (x) = e^{- x}, 2 π p e r i o d i c d e v e l o p p f a t f o u r i e r s e r i e .$

Question Number 68033 Answers: 1 Comments: 0

find ∫ (dx/(1+sinx +sin(2x)))

$f i n d \int \frac{d x}{1 + s i n x + s i n (2 x)}$

Question Number 68028 Answers: 0 Comments: 0

Question Number 68022 Answers: 1 Comments: 1

Question Number 68021 Answers: 1 Comments: 1

Question Number 68019 Answers: 0 Comments: 5

let F(x) =∫_x ^(x^2 +1) e^(−2t) sin(xt)dt determine F^′ (x) and calculate lim_(x→0) F(x).

$l e t F (x) = \int_{x}^{x^{2} + 1} e^{- 2 t} s i n (x t) d t$ $d e t e r m i n e F^{^{'}} (x) a n d c a l c u l a t e {l i m}_{x \to 0} F (x) .$

Question Number 68001 Answers: 0 Comments: 1

let F(x)=∫_(2x) ^(x^2 +1) (e^(−xt) /(x+2t))dt calculate F^′ (x)

$l e t F (x) = \int_{2 x}^{x^{2} + 1} \frac{e^{- x t}}{x + 2 t} d t c a l c u l a t e F^{^{'}} (x)$

Question Number 67997 Answers: 0 Comments: 0

5y^2 +2axy+b=0 ay^2 +2bx+5c=0 (5x+3a)y^2 +(4ax^2 )y−bx−5c=0 5y^2 −x(5x+2a)y−ax^3 −3b=0 Please solve simultaneously for x and y such that all four equations are obeyed.

$5 y^{2} + 2 a x y + b = 0$ ${a y}^{2} + 2 b x + 5 c = 0$ $(5 x + 3 a) y^{2} + (4 {a x}^{2}) y - b x - 5 c = 0$ $5 y^{2} - x (5 x + 2 a) y - {a x}^{3} - 3 b = 0$ $P l e a s e s o l v e s i m u l t a n e o u s l y$ $f o r x a n d y s u c h t h a t a l l f o u r$ $e q u a t i o n s a r e o b e y e d .$

Question Number 67996 Answers: 1 Comments: 4

Question Number 67992 Answers: 1 Comments: 0

(1) z=a+bi (2) z=re^(iθ) express the values of (a) real (z^z ) [real part] (b) imag (z^z ) [imaginary part] (c) abs (z^z ) [absolute value] (d) arg (z^z ) [argument = angle]

$(1) z = a + b i$ $(2) z = r e^{i θ}$ $express the values of$ $(a) real (z^{z}) [real part]$ $(b) imag (z^{z}) [imaginary part]$ $(c) abs (z^{z}) [absolute value]$ $(d) \arg (z^{z}) [argument = angle]$

Question Number 67991 Answers: 1 Comments: 1

Question Number 67983 Answers: 2 Comments: 1

Question Number 67977 Answers: 1 Comments: 1

Question Number 67974 Answers: 0 Comments: 2

let F(x) =∫_x ^x^2 ((arctan(xt))/(x^2 +t^2 ))dt calculate F^′ (x).

$l e t F (x) = \int_{x}^{x^{2}} \frac{a r c t a n (x t)}{x^{2} + t^{2}} d t c a l c u l a t e F^{^{'}} (x) .$

Question Number 67973 Answers: 0 Comments: 5

Question Number 67972 Answers: 2 Comments: 0

if F(x)=∫_(u(x)) ^(v(x)) g(x,t)dt determine a expression for F^′ (x).

$i f F (x) = \int_{u (x)}^{v (x)} g (x, t) d t d e t e r m i n e a e x p r e s s i o n f o r F^{^{'}} (x) .$

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