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IntegrationQuestion and Answers: Page 48

Question Number 163497 Answers: 1 Comments: 1

Question Number 163490 Answers: 1 Comments: 0

∫_0 ^∞ (x^3 /(e^x −1)) dx

$\int_{0}^{\infty} \frac{x^{3}}{e^{x} - 1} d x$

Question Number 163483 Answers: 4 Comments: 0

Question Number 163481 Answers: 1 Comments: 0

Question Number 163473 Answers: 0 Comments: 2

Question Number 163472 Answers: 1 Comments: 0

∫_0 ^3 ((xdx)/(x^3 + 2x^2 + x 2)) =

$\int_{0}^{3} \frac{xdx}{x^{3} + 2 x^{2} + x 2} =$

Question Number 163469 Answers: 1 Comments: 1

Question Number 163467 Answers: 1 Comments: 0

Question Number 163414 Answers: 1 Comments: 0

∫(dx/( (√(cosx sin^3 x))+(√(sinx cos^3 x))))

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

Question Number 163357 Answers: 1 Comments: 0

∫_0 ^( 1) ln(3x−3x^( 2) + x^( 3) )= ?

$\int_{0}^{1} l n (3 x - 3 x^{2} + x^{3}) = ?$

Question Number 163349 Answers: 1 Comments: 0

Question Number 163197 Answers: 0 Comments: 1

Question Number 163212 Answers: 1 Comments: 3

Question Number 163158 Answers: 1 Comments: 0

prove that ∫_0 ^( (π/4)) (( sin(x)+cos(x))/( (√(1+sin(x)cos(x))))) dx= (√2) .cot^( −1) ((√2) ) −−−−−

$p r o v e t h a t$ $\int_{0}^{\frac{π}{4}} \frac{s i n (x) + c o s (x)}{\sqrt{1 + s i n (x) c o s (x)}} d x = \sqrt{2} . {c o t}^{- 1} (\sqrt{2})$ $- - - - -$

Question Number 163119 Answers: 2 Comments: 0

f ′(x)= f(x)+∫_0 ^1 f(x)dx f(0)=1 ⇒f(x)=?

$f^{'} (x) = f (x) + \int_{0}^{1} f (x) d x$ $f (0) = 1 \Rightarrow f (x) = ?$

Question Number 163114 Answers: 1 Comments: 0

∫(((cos5x+cos4x)/(1+2cos3x))) dx

$\int (\frac{\cos 5 x + \cos 4 x}{1 + 2 \cos 3 x}) dx$

Question Number 163109 Answers: 1 Comments: 0

find the value of ∫_(−∞) ^(+∞) ((cosx)/((x^2 +1)^n ))dx (n fromN and n≥1)

$find the value of \int_{- \infty}^{+ \infty} \frac{cosx}{{(x^{2} + 1)}^{n}} dx (n fromN and n ⩾ 1)$

Question Number 163072 Answers: 1 Comments: 0

∫((sinx+sin3x+sin5x+sin7x)/(cosx+cos3x+cos5x+cos7x)) dx

$\int \frac{sinx + \sin 3 x + \sin 5 x + \sin 7 x}{cosx + \cos 3 x + \cos 5 x + \cos 7 x} dx$

Question Number 163008 Answers: 2 Comments: 0

Calculate ∫ (((2−4sin x cos x)(1+sin 2x))/(sin^4 2x+64 cos^4 2x)) dx

$C a l c u l a t e$ $\int \frac{(2 - 4 \sin x \cos x) (1 + \sin 2 x)}{\sin^{4} 2 x + 64 \cos^{4} 2 x} d x$

Question Number 162894 Answers: 1 Comments: 0

Question Number 162893 Answers: 2 Comments: 0

Ω=∫_0 ^( 1) ((( x^ )/(ln^ ( 1−x ))))^( 2) dx=^? ln ((( 27)/(16)) ) −−−−

$Ω = \int_{0}^{1} {(\frac{x^{}}{\ln^{} (1 - x)})}^{2} d x \overset{?}{=} \ln (\frac{27}{16})$ $- - - -$

Question Number 162864 Answers: 2 Comments: 0

Question Number 162811 Answers: 1 Comments: 0

I = ∫_0 ^( ∞) (( tan^( −1) (x ))/(( 1+x^( 2) )^( 2) )) dx = ? −−−−−−−−−−

$I = \int_{0}^{\infty} \frac{{t a n}^{- 1} (x)}{{(1 + x^{2})}^{2}} d x = ?$ $- - - - - - - - - -$

Question Number 162702 Answers: 0 Comments: 0

∫e^(−4x) tg(x)ln∣cos(x)∣dx=?

$\int e^{- 4 x} t g (x) l n ∣ c o s (x) ∣ d x = ?$

Question Number 162604 Answers: 1 Comments: 0

I=∫_0 ^(π/4) xtg(x)dx=?

$I = \int_{0}^{\frac{π}{4}} x t g (x) d x = ?$

Question Number 162575 Answers: 2 Comments: 0

∫_0 ^π (x^2 /(1+sinx))dx

$\int_{0}^{π} \frac{x^{2}}{1 + \sin x} d x$

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