Question and Answers Forum

All Questions Topic List

IntegrationQuestion and Answers: Page 256

Question Number 47058 Answers: 1 Comments: 0

calculate ∫_0 ^1 ((1+x^3 )/(1+x^4 ))dx

$c a l c u l a t e \int_{0}^{1} \frac{1 + x^{3}}{1 + x^{4}} d x$

Question Number 47026 Answers: 4 Comments: 4

Question Number 47018 Answers: 1 Comments: 1

find ∫ (√(x+2−(√(x−1))))dx

$f i n d \int \sqrt{x + 2 - \sqrt{x - 1}} d x$

Question Number 47098 Answers: 1 Comments: 8

prove that:lim_(n→∞) ∫_(−1) ^1 (1+(t/n))^n dt = e−(1/e).

$p r o v e t h a t : \lim_{n \to \infty} \int_{- 1}^{1} {(1 + \frac{t}{n})}^{n} d t = e - \frac{1}{e} .$

Question Number 46898 Answers: 2 Comments: 2

∫((tanx)/((tanx+1)^2 −2tan^2 x ))dx=??

$\int \frac{t a n x}{{(t a n x + 1)}^{2} - 2 {t a n}^{2} x} d x = ? ?$

Question Number 46856 Answers: 0 Comments: 1

find f(t) =∫_0 ^1 x^2 arctan(1+tx)dx

$f i n d f (t) = \int_{0}^{1} x^{2} a r c t a n (1 + t x) d x$

Question Number 46855 Answers: 0 Comments: 1

calculate ∫_0 ^1 x arctan(1+x)dx

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

Question Number 46854 Answers: 1 Comments: 1

find =∫_0 ^π ((sinx)/(2+cos(2x)))dx

$f i n d = \int_{0}^{π} \frac{s i n x}{2 + c o s (2 x)} d x$

Question Number 46853 Answers: 1 Comments: 1

fnd ∫ (dx/(1+cos(tx)))

$f n d \int \frac{d x}{1 + c o s (t x)}$

Question Number 46851 Answers: 0 Comments: 3

let f(x)=∫_0 ^(2π) ((sint)/(x +sint))dt withx>1 1) calculate f(x) 2) calculate ∫_0 ^(2π) ((sint)/((x+sint)^2 ))dt 3)find the value of ∫_0 ^(2π) ((sint)/(2+sint))dt and ∫_0 ^(2π) ((sint)/((2+sint)^2 ))dt

$l e t f (x) = \int_{0}^{2 π} \frac{s i n t}{x + s i n t} d t w i t h x > 1$ $1) c a l c u l a t e f (x)$ $2) c a l c u l a t e \int_{0}^{2 π} \frac{s i n t}{{(x + s i n t)}^{2}} d t$ $3) f i n d t h e v a l u e o f \int_{0}^{2 π} \frac{s i n t}{2 + s i n t} d t a n d \int_{0}^{2 π} \frac{s i n t}{{(2 + s i n t)}^{2}} d t$

Question Number 46850 Answers: 1 Comments: 1

let a^2 >b^(2 ) +c^2 calculate ∫_0 ^(2π) (dθ/(a+bsinθ +c cosθ))

$l e t a^{2} > b^{2} + c^{2} c a l c u l a t e \int_{0}^{2 π} \frac{d θ}{a + b s i n θ + c c o s θ}$

Question Number 46849 Answers: 0 Comments: 0

let A_p =Σ_(n=1) ^∞ n^p x^n with p integr . and x ∈]−1,1[ . 1) calculate A_1 ,A_2 and A_3 2) find a relation of recurrence betwen the A_n 3) calculate Σ_(n=1) ^∞ n^4 x^n and Σ_(n=1) ^∞ n^5 x^n .

$l e t A_{p} = \sum_{n = 1}^{\infty} n^{p} x^{n} w i t h p i n t e g r . a n d x \in] - 1, 1 [.$ $1) c a l c u l a t e A_{1}, A_{2} a n d A_{3}$ $2) f i n d a r e l a t i o n o f r e c u r r e n c e b e t w e n t h e A_{n}$ $3) c a l c u l a t e \sum_{n = 1}^{\infty} n^{4} x^{n} a n d \sum_{n = 1}^{\infty} n^{5} x^{n} .$

Question Number 46848 Answers: 0 Comments: 1

caculate ∫∫_D (x^2 −y^2 ) e^(−x^2 −y^2 ) dxdy with D ={(x,y)∈R^2 / x^2 +y^2 ≤4}

$c a c u l a t e \int \int_{D} (x^{2} - y^{2}) e^{- x^{2} - y^{2}} d x d y w i t h$ $D = {(x, y) \in R^{2} / x^{2} + y^{2} ⩽ 4}$

Question Number 46847 Answers: 0 Comments: 1

calculate ∫∫_(0≤x≤1 and 1≤y≤2) e^(x/y) dxdy

$c a l c u l a t e \int \int_{0 ⩽ x ⩽ 1 a n d 1 ⩽ y ⩽ 2} e^{\frac{x}{y}} d x d y$

Question Number 46846 Answers: 0 Comments: 1

calculate ∫∫_D ((x+y)/(√(1−x^2 −y^2 )))dxdy with D={(x,y)∈R^2 /x≥0,y≥0,x^2 +y^2 <1}

$c a l c u l a t e \int \int_{D} \frac{x + y}{\sqrt{1 - x^{2} - y^{2}}} d x d y w i t h D = {(x, y) \in R^{2} / x ⩾ 0, y ⩾ 0, x^{2} + y^{2} < 1}$

Question Number 46845 Answers: 0 Comments: 0

calculate ∫_0 ^1 (e^(−x) /(1+x)) dx .

$c a l c u l a t e \int_{0}^{1} \frac{e^{- x}}{1 + x} d x .$

Question Number 46844 Answers: 0 Comments: 1

calculate ∫_0 ^∞ e^(−2t) ln(1+3t)dt

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

Question Number 46843 Answers: 0 Comments: 0

let f(x)= ∫_0 ^x (t/(sin(t)))dt 1) find a explicit form of f(x) 2) calculate ∫_0 ^(π/2) (t/(sint))dt

$l e t f (x) = \int_{0}^{x} \frac{t}{s i n (t)} d t$ $1) f i n d a e x p l i c i t f o r m o f f (x)$ $2) c a l c u l a t e \int_{0}^{\frac{π}{2}} \frac{t}{s i n t} d t$

Question Number 46842 Answers: 1 Comments: 1

find ∫ (dx/(x(√(x−x^2 ))))

$f i n d \int \frac{d x}{x \sqrt{x - x^{2}}}$

Question Number 46841 Answers: 1 Comments: 1

calculate ∫_(π/4) ^(π/3) (dx/(cosx sinx))

$c a l c u l a t e \int_{\frac{π}{4}}^{\frac{π}{3}} \frac{d x}{c o s x s i n x}$

Question Number 46838 Answers: 1 Comments: 0

Question Number 46837 Answers: 0 Comments: 1

find∫(√(sin2x)) dx=??

$f i n d \int \sqrt{s i n 2 x} d x = ? ?$

Question Number 46833 Answers: 0 Comments: 1

Question Number 46748 Answers: 0 Comments: 0

∫(√(sin2x)) dx=??

$\int \sqrt{s i n 2 x} d x = ? ?$

Question Number 46740 Answers: 1 Comments: 2

find ∫ x(√((1−(√x))/(1+(√x))))dx

$f i n d \int x \sqrt{\frac{1 - \sqrt{x}}{1 + \sqrt{x}}} d x$

Question Number 46720 Answers: 0 Comments: 6

Pg 251 Pg 252 Pg 253 Pg 254 Pg 255 Pg 256 Pg 257 Pg 258 Pg 259 Pg 260

Terms of Service

Contact: info@tinkutara.com