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IntegrationQuestion and Answers: Page 25

Question Number 191369 Answers: 1 Comments: 0

calculate 𝛗= Σ_(n=1) ^∞ (( sin(((nπ)/3) ))/((2n + 1 )^( 2) ))= ?

$c a l c u l a t e$ $ϕ = \underset{n = 1}{\sum^{\infty}} \frac{s i n (\frac{n π}{3})}{{(2 n + 1)}^{2}} = ?$

Question Number 191342 Answers: 1 Comments: 0

calculate... Ω ={ ∫_0 ^( (π/4)) ( 1 + (√3) sin(x) + cos(x) )^( n) dx}^(1/n) = ?

$c a l c u l a t e . . .$ $Ω = {\int_{0}^{\frac{π}{4}} {(1 + \sqrt{3} s i n (x) + c o s (x))}^{n} d x}^{\frac{1}{n}} = ?$

Question Number 191303 Answers: 2 Comments: 0

Question Number 191188 Answers: 1 Comments: 0

∫ (((2−x)/(1−x)))^(1/4) dx =?

$\int \sqrt[4]{\frac{2 - x}{1 - x}} dx = ?$

Question Number 191142 Answers: 0 Comments: 0

Question Number 191049 Answers: 1 Comments: 1

Question Number 191041 Answers: 1 Comments: 2

Question Number 190987 Answers: 1 Comments: 0

Question Number 190984 Answers: 2 Comments: 0

∫_0 ^3 ∫_0 ^2 x^2 ydydx

$\int_{0}^{3} \int_{0}^{2} x^{2} ydydx$

Question Number 190983 Answers: 0 Comments: 0

∫_(x= ) ^ ∫_(y= ) ^( −x) ∫_(z= ) ^( −x−y) xdzdydx

$\int_{x =}^{} \int_{y =}^{- x} \int_{z =}^{- x - y} x d z d y d x$

Question Number 190940 Answers: 1 Comments: 0

The parametric equation of a curve are x=3t^2 and y=3t−t^2 . Find the volume generated when the plane bounded by the curve ,the x−axis and the ordinates corresponding to t=0 and t=2 rotates about the y−axis

$The parametric equation of a curve are$ $x = {3 t}^{2} and y = 3 t - t^{2} .$ $Find the volume generated$ $when the plane bounded by the curve$ $, the x - axis and the ordinates$ $corresponding to$ $t = 0 and t = 2 rotates about the y - axis$

Question Number 190937 Answers: 1 Comments: 0

Show that ∫ ((sech (√x) tanh (√x))/( (√x)))=−(2/(cosh (√x)))

$Show that$ $\int \frac{sech \sqrt{x} \tanh \sqrt{x}}{\sqrt{x}} = - \frac{2}{\cosh \sqrt{x}}$

Question Number 190841 Answers: 1 Comments: 0

Question Number 190812 Answers: 1 Comments: 1

Question Number 190809 Answers: 0 Comments: 2

Question Number 190754 Answers: 1 Comments: 0

I = ∫_0 ^( π) e^(acos t) cos (asin t)dt

$I = \int_{0}^{π} e^{a \cos t} \cos (a \sin t) d t$

Question Number 190740 Answers: 1 Comments: 0

∫(dx/((x^2 +5)^2 ))=?

$\int \frac{d x}{{(x^{2} + 5)}^{2}} = ?$

Question Number 190708 Answers: 1 Comments: 0

Question Number 190700 Answers: 1 Comments: 0

Question Number 190692 Answers: 1 Comments: 0

calculate 𝛗 = ∫_0 ^( ∞) (( sin^( 3) (x ) ln( x ))/x) dx = ? @ nice − mathematics

$calculate$ $ϕ = \int_{0}^{\infty} \frac{\sin^{3} (x) \ln (x)}{x} d x = ?$ $@ nice - mathematics$

Question Number 190624 Answers: 2 Comments: 0

Question Number 190623 Answers: 2 Comments: 0

calculate : Σ_(n=1) ^∞ (( (−1)^( n−1) )/n) cos ((( nπ)/3) ) =?

$calculate :$ $\underset{n = 1}{\sum^{\infty}} \frac{{(- 1)}^{n - 1}}{n} \cos (\frac{n π}{3}) = ?$

Question Number 190622 Answers: 1 Comments: 0

prove : ∫_(−∞) ^( ∞) ((( x)/( ⋮ )^2 dx= Σ_(k=1) ^∞ (1/( k^2 )) ⋖))

$p r o v e :$ $\int_{- \infty}^{\infty} (\frac{x}{{\underset{―}{⋮})}^{2} d x = \underset{k = 1}{\sum^{\infty}} \frac{1}{k^{2}} ⋖}$

Question Number 190552 Answers: 1 Comments: 1

∫_(1/2) ^2 ln(((ln(x+(1/x)))/(ln(x^2 −x+((17)/6)))))dx=?

$\int_{\frac{1}{2}}^{2} l n (\frac{l n (x + \frac{1}{x})}{l n (x^{2} - x + \frac{17}{6})}) d x = ?$

Question Number 190533 Answers: 1 Comments: 0

Question Number 190487 Answers: 1 Comments: 0

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