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IntegrationQuestion and Answers: Page 207

Question Number 72337 Answers: 1 Comments: 1

Evaluate ∫_(−5) ^5 ((√(25−x^2 )) ) dx using ⇒ an algebraic method ⇒ Geometrical mehod thanks in advanced great mathematicians

$E v a l u a t e \int_{- 5}^{5} (\sqrt{25 - x^{2}}) d x u s i n g$ $\Rightarrow a n a l g e b r a i c m e t h o d$ $\Rightarrow G e o m e t r i c a l m e h o d$ $t h a n k s i n a d v a n c e d g r e a t m a t h e m a t i c i a n s$

Question Number 72336 Answers: 0 Comments: 0

Obain an equation for ⇒ the left Reimen Sum ⇒ the right Reimen sum ⇒ Trapeziodal rule ⇒ Newton Raphson′s Iteration Hence find and approximate value for ∫_0 ^3 (e^x + x^2 )dx

$O b a i n a n e q u a t i o n f o r$ $\Rightarrow t h e l e f t R e i m e n S u m$ $\Rightarrow t h e r i g h t R e i m e n s u m$ $\Rightarrow T r a p e z i o d a l r u l e$ $\Rightarrow N e w t o n {R a p h s o n}^{'} s I t e r a t i o n$ $H e n c e f i n d a n d a p p r o x i m a t e v a l u e f o r \int_{0}^{3} (e^{x} + x^{2}) d x$

Question Number 72359 Answers: 1 Comments: 2

Question Number 72259 Answers: 1 Comments: 0

∫yz dx +∫xz dy +∫xy dz pleas sir help me ?

$\int y z d x + \int x z d y + \int x y d z p l e a s s i r h e l p m e ?$

Question Number 72286 Answers: 0 Comments: 0

Question Number 72287 Answers: 0 Comments: 0

Question Number 72390 Answers: 0 Comments: 1

calculate U_n =∫_0 ^∞ ((arctan(1+x^4 ))/((x^2 +n^2 )^3 ))dx and determine nature of the serie Σ U_n

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

Question Number 72060 Answers: 0 Comments: 2

∫((sin x)/(1+sin x+sin 2x))dx=?

$\int \frac{\sin x}{1 + \sin x + \sin 2 x} d x = ?$

Question Number 72025 Answers: 1 Comments: 1

calculate ∫_0 ^∞ e^(−αx) ln(x)dx with α>0

$c a l c u l a t e \int_{0}^{\infty} e^{- α x} l n (x) d x w i t h α > 0$

Question Number 72017 Answers: 0 Comments: 0

find ∫ ((x+(√(4+x^2 )))/(x−(√(4+3x^2 ))))dx

$f i n d \int \frac{x + \sqrt{4 + x^{2}}}{x - \sqrt{4 + 3 x^{2}}} d x$

Question Number 72016 Answers: 1 Comments: 2

find U_n =∫_0 ^∞ ((cos(nx))/((3+nx^2 )^2 ))dx with n integr

$f i n d U_{n} = \int_{0}^{\infty} \frac{c o s (n x)}{{(3 + {n x}^{2})}^{2}} d x w i t h n i n t e g r$

Question Number 72015 Answers: 0 Comments: 1

find ∫ ((arctan(x−(1/x)))/(x^2 +1))dx

$f i n d \int \frac{a r c t a n (x - \frac{1}{x})}{x^{2} + 1} d x$

Question Number 72012 Answers: 0 Comments: 1

find f(α) =∫_0 ^∞ ((arctan(αx))/((x^2 +3)^2 ))dx with α real.

$f i n d f (α) = \int_{0}^{\infty} \frac{a r c t a n (α x)}{{(x^{2} + 3)}^{2}} d x w i t h α r e a l .$

Question Number 72011 Answers: 1 Comments: 1

calculate ∫_0 ^∞ ((ln(3+x^2 ))/((x^2 +1)^2 ))dx

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

Question Number 71921 Answers: 0 Comments: 0

Question Number 72062 Answers: 1 Comments: 2

Question Number 71904 Answers: 0 Comments: 0

Question Number 71864 Answers: 1 Comments: 2

Draw the graph of : x=∣y∣ (√(1−y^2 ))

$D r a w t h e g r a p h o f :$ $x =∣ y ∣ \sqrt{1 - y^{2}}$

Question Number 71850 Answers: 2 Comments: 0

∫ln(x^x^x .e^x^x )dx=?

$\int \ln (x^{x^{x}} . e^{x^{x}}) dx = ?$

Question Number 71831 Answers: 1 Comments: 2

Question Number 71816 Answers: 1 Comments: 0

suppose that f is continuous and differentiable in (a,b) if f′(x) =0 ,∀ x∈(a,b) then show that f is constant on [a,b].

$s u p p o s e t h a t f i s c o n t i n u o u s a n d d i f f e r e n t i a b l e i n (a, b) i f f^{'} (x) = 0, \forall x \in (a, b) t h e n s h o w t h a t f i s c o n s t a n t o n [a, b] .$

Question Number 71814 Answers: 1 Comments: 2

∫(1/(1+cot x))dx

$\int \frac{1}{1 + \cot x} d x$

Question Number 71813 Answers: 0 Comments: 0

1)calculate F(a)=∫_0 ^(π/4) arctan(1+a cosx)dx 2)find the valeur of ∫_0 ^(π/4) arctan(1+(√2)cosx)dx

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

Question Number 71802 Answers: 1 Comments: 1

find ∫ ((x^2 −1)/((x+3)^2 (x^3 −5x+4)))dx

$f i n d \int \frac{x^{2} - 1}{{(x + 3)}^{2} (x^{3} - 5 x + 4)} d x$

Question Number 71801 Answers: 0 Comments: 0

find I_n =∫_0 ^1 x^n (√(1+x^2 ))dx with n integr natural

$f i n d I_{n} = \int_{0}^{1} x^{n} \sqrt{1 + x^{2}} d x w i t h n i n t e g r n a t u r a l$

Question Number 71799 Answers: 2 Comments: 0

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