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IntegrationQuestion and Answers: Page 67

Question Number 149156 Answers: 0 Comments: 0

if ∫(dx/( (((1+x^2 )^(1012) (2+x^2 )^(3012) ))^(1/(2012)) ))=(α/(2β))(1−f(x))^(β/α) then find α,β,f(x)

$i f \int \frac{d x}{\sqrt[2012]{{(1 + x^{2})}^{1012} {(2 + x^{2})}^{3012}}} = \frac{α}{2 β} {(1 - f (x))}^{\frac{β}{α}}$ $t h e n f i n d α, β, f (x)$

Question Number 149113 Answers: 1 Comments: 0

∫_0 ^( π) ((cos^3 x)/(7−sin^2 x)) dx =?

$\int_{0}^{π} \frac{\cos^{3} x}{7 - \sin^{2} x} dx = ?$

Question Number 149112 Answers: 0 Comments: 2

ϕ = ∫ tan (x+(π/3))tan 3x tan (2x−(π/3)) dx =?

$φ = \int \tan (x + \frac{π}{3}) \tan 3 x \tan (2 x - \frac{π}{3}) dx = ?$

Question Number 149106 Answers: 0 Comments: 0

Question Number 149081 Answers: 1 Comments: 0

Question Number 149080 Answers: 0 Comments: 0

Question Number 149023 Answers: 1 Comments: 0

∫_0 ^(π/4) ((tsint)/(1+cos^2 t))dt=∫_0 ^(π/4) ((tcost)/(1+sin^2 t))dt true or false ??

$\int_{0}^{\frac{π}{4}} \frac{t s i n t}{1 + {c o s}^{2} t} d t = {\int^{\frac{π}{4}}}_{0} \frac{t c o s t}{1 + {s i n}^{2} t} d t$ $t r u e o r f a l s e ? ?$

Question Number 148981 Answers: 0 Comments: 0

∫_((√2)/2) ^1 ((arc cosu)/(u^2 +1))du

$\int_{\frac{\sqrt{2}}{2}}^{1} \frac{a r c c o s u}{u^{2} + 1} d u$

Question Number 148942 Answers: 0 Comments: 0

M=∫_0 ^(+∞) ((x^(2n) lnx)/(x^2 +1))dx

$M = \int_{0}^{+ \infty} \frac{x^{2 n} l n x}{x^{2} + 1} d x$

Question Number 148905 Answers: 1 Comments: 0

Question Number 148895 Answers: 0 Comments: 2

Question Number 148856 Answers: 0 Comments: 3

pls solve

$p l s s o l v e$

Question Number 148854 Answers: 0 Comments: 0

∫(√((A∙B∙(√(x^2 +y^2 )))/((x^2 +y^2 )B^2 +C)))dx= ? A,B,C=const.

$\int \sqrt{\frac{A \cdot B \cdot \sqrt{x^{2} + y^{2}}}{(x^{2} + y^{2}) B^{2} + C}} d x = ?$ $A, B, C = c o n s t .$

Question Number 148815 Answers: 0 Comments: 0

calculate ∫_0 ^∞ (x^n /((x^(2n) +1)^2 ))dx (n≥2 integr)

$calculate \int_{0}^{\infty} \frac{x^{n}}{{(x^{2 n} + 1)}^{2}} dx (n ⩾ 2 integr)$

Question Number 148809 Answers: 1 Comments: 0

Σ_(i=0) ^∞ [(−0.5x^2 )i/i!] integrate

$\underset{i = 0}{\sum^{\infty}} [(- 0 . {5 x}^{2}) i / i!] integrate$

Question Number 148816 Answers: 1 Comments: 0

∫_0 ^∞ x^m e^(ix^n ) dx=??

$\int_{0}^{\infty} x^{m} e^{{i x}^{n}} d x = ? ?$

Question Number 150871 Answers: 1 Comments: 0

Find all the real solutions of cos x+cos^5 x+cos 7x=3

$Find all the real solutions$ $of \cos x + \cos^{5} x + \cos 7 x = 3$

Question Number 148720 Answers: 4 Comments: 0

Find the Talor series of ((ln(1−x))/((1−x)^2 )) at x=0.

$Find the Talor series of \frac{\ln (1 - x)}{{(1 - x)}^{2}} at x = 0 .$

Question Number 148570 Answers: 2 Comments: 0

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

$calculate \int_{0}^{\infty} \frac{logx}{x^{2} + x + 1} dx$

Question Number 148567 Answers: 1 Comments: 0

find ∫_0 ^∞ ((x^2 logx)/((x^2 +1)^3 ))dx

$find \int_{0}^{\infty} \frac{x^{2} logx}{{(x^{2} + 1)}^{3}} dx$

Question Number 148566 Answers: 0 Comments: 0

calculate U_n =∫∫_([(1/n),n[) ((cos(x^2 +y^2 ))/(x^2 +y^2 ))dxdy and determine lim_(n→+∞) U_n nature of Σ U_n ?

$calculate U_{n} = \int \int_{[\frac{1}{n}, n [} \frac{\cos (x^{2} + y^{2})}{x^{2} + y^{2}} dxdy$ $and determine \lim_{n \to + \infty} U_{n}$ $nature of Σ U_{n} ?$

Question Number 148565 Answers: 2 Comments: 0

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

$calculate \int_{- \infty}^{+ \infty} \frac{x^{2} dx}{(x^{2} - x + 1) (x^{2} + x + 1)}$

Question Number 148467 Answers: 2 Comments: 0

Question Number 148441 Answers: 0 Comments: 0

Σ_(k=1) ^∞ Σ_(m=1) ^n ((n(m−1))/((nk+m−1)(nk+m)))=?

$\underset{k = 1}{\sum^{\infty}} \underset{m = 1}{\sum^{n}} \frac{n (m - 1)}{(nk + m - 1) (nk + m)} = ?$

Question Number 148408 Answers: 2 Comments: 0

∫x^5 e^x^2 dx Help please!

$\int x^{5} e^{x^{2}} d x$ $H e l p p l e a s e!$

Question Number 148376 Answers: 1 Comments: 0

∫_1 ^∞ x^i lnxdx i^2 =−1

$\int_{1}^{\infty} x^{i} l n x d x i^{2} = - 1$

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