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IntegrationQuestion and Answers: Page 210

Question Number 70482 Answers: 1 Comments: 2

∫((sin^3 x)/(√(cosx)))dx

$\int \frac{{s i n}^{3} x}{\sqrt{c o s x}} d x$

Question Number 70446 Answers: 0 Comments: 4

Question Number 70425 Answers: 0 Comments: 0

Question Number 70719 Answers: 1 Comments: 0

∫sin (101x)sin^(99) x dx

$\int \sin (101 x) \sin^{99} x dx$

Question Number 70418 Answers: 0 Comments: 0

Question Number 70369 Answers: 0 Comments: 1

Question Number 70361 Answers: 0 Comments: 0

Hello si(x)=−∫_x ^∞ ((sin(x))/x)dx show ∫_0 ^(+∞) x^(a−1) si(x)dx=−((Γ(a)sin(((πa)/2)))/a) hint ipp +complex Analysis

$H e l l o$ $s i (x) = - \int_{x}^{\infty} \frac{s i n (x)}{x} d x$ $s h o w \int_{0}^{+ \infty} x^{a - 1} s i (x) d x = - \frac{Γ (a) s i n (\frac{π a}{2})}{a}$ $h i n t i p p + c o m p l e x A n a l y s i s$

Question Number 70262 Answers: 0 Comments: 1

calculate ∫_0 ^(π/4) ln(cosx)dx and ∫_0 ^(π/4) ln(sinx)dx

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

Question Number 70230 Answers: 0 Comments: 2

Question Number 70237 Answers: 0 Comments: 3

calculate ∫_0 ^∞ ((xsin(αx))/(1+x^4 ))dx with α real

$c a l c u l a t e \int_{0}^{\infty} \frac{x s i n (α x)}{1 + x^{4}} d x w i t h α r e a l$

Question Number 70150 Answers: 0 Comments: 1

prove that ∫_0 ^(π/2) (√((4−sin^2 x)))dx < ((π(√(14)))/4)

$p r o v e t h a t \int_{0}^{\frac{π}{2}} \sqrt{(4 - {s i n}^{2} x)} d x < \frac{π \sqrt{14}}{4}$

Question Number 70031 Answers: 0 Comments: 0

∫[x]dx

$\int [x] d x$

Question Number 70718 Answers: 1 Comments: 1

∫_0 ^1 ((tan^(−1) x)/(1+x))dx

$\int_{0}^{1} \frac{\tan^{- 1} x}{1 + x} dx$

Question Number 69789 Answers: 0 Comments: 0

solve sin(2x)y^′ −3(cosx)y =xe^(−x)

$s o l v e s i n (2 x) y^{^{'}} - 3 (c o s x) y = {x e}^{- x}$

Question Number 69784 Answers: 0 Comments: 0

calculate f(a) =∫_0 ^∞ e^(−(x^2 +(a/x^2 ))) dx with a>0

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

Question Number 69692 Answers: 0 Comments: 0

Question Number 69637 Answers: 1 Comments: 0

...now try this one: ∫(dx/(x^(1/2) −x^(1/3) −x^(1/6) ))=

$. . . now try this one :$ $\int \frac{d x}{x^{1 / 2} - x^{1 / 3} - x^{1 / 6}} =$

Question Number 69623 Answers: 1 Comments: 0

∫(1/((√x) + (x)^(1/3) )) dx

$\int \frac{1}{\sqrt{x} + \sqrt[3]{x}} d x$

Question Number 69603 Answers: 1 Comments: 0

∫ x^3 arcsinxdx

$\int x^{3} a r c s i n x d x$

Question Number 69597 Answers: 1 Comments: 1

Question Number 69573 Answers: 0 Comments: 1

Question Number 69570 Answers: 0 Comments: 0

Question Number 69566 Answers: 1 Comments: 0

Question Number 69565 Answers: 0 Comments: 0

Question Number 69564 Answers: 0 Comments: 3

let f(a) =∫_0 ^∞ (dx/(x^4 −2x^2 +a)) with a real and a>1 1) determine a explicit form for f(a) 2) calculate g(a) =∫_0 ^∞ (dx/((x^4 −2x^2 +a)^2 )) 3) find the values of integrals ∫_0 ^∞ (dx/(x^4 −2x^2 +3)) and ∫_0 ^∞ (dx/((x^4 −2x^2 +3)^2 ))

$l e t f (a) = \int_{0}^{\infty} \frac{d x}{x^{4} - 2 x^{2} + a} w i t h a r e a l a n d a > 1$ $1) d e t e r m i n e a e x p l i c i t f o r m f o r f (a)$ $2) c a l c u l a t e g (a) = \int_{0}^{\infty} \frac{d x}{{(x^{4} - 2 x^{2} + a)}^{2}}$ $3) f i n d t h e v a l u e s o f i n t e g r a l s \int_{0}^{\infty} \frac{d x}{x^{4} - 2 x^{2} + 3}$ $a n d \int_{0}^{\infty} \frac{d x}{{(x^{4} - 2 x^{2} + 3)}^{2}}$

Question Number 69563 Answers: 0 Comments: 1

calculate ∫_0 ^∞ (dx/(x^4 −x^2 +1))

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

Pg 205 Pg 206 Pg 207 Pg 208 Pg 209 Pg 210 Pg 211 Pg 212 Pg 213 Pg 214

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