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Question Number 95635 Answers: 1 Comments: 0

Show that if a function is even and derivable then f′(x) is an odd function.

$Show that if a function is even and derivable then$ $f^{'} (x) is an odd function .$

Question Number 95634 Answers: 1 Comments: 0

solve ∣x+(1/x)∣ > 2

$solve ∣ x + \frac{1}{x} ∣ > 2$

Question Number 95624 Answers: 1 Comments: 0

∫_1 ^5 x(∫f(x)dx) dx = 24 ∫_1 ^3 (2−f(x))dx ?

${\int^{5}}_{1} x (\int f (x) dx) d x = 24$ ${\int^{3}}_{1} (2 - f (x)) dx ?$

Question Number 95608 Answers: 3 Comments: 2

Question Number 95604 Answers: 1 Comments: 3

Question Number 95601 Answers: 0 Comments: 1

1z 1

$1 z$ $1$

Question Number 95600 Answers: 1 Comments: 0

solve the differential equation L(d^2 q/dt^2 )+R(dq/dt)+(1/C)q=εcosωt which is in R.L.C circuit with forced oscillation where L is inductance R is resistance C is capacitanace q is charge ε is motion emf t is time

$s o l v e t h e d i f f e r e n t i a l e q u a t i o n$ $L \frac{d^{2} q}{{d t}^{2}} + R \frac{d q}{d t} + \frac{1}{C} q = ε c o s ω t$ $w h i c h i s i n R . L . C c i r c u i t w i t h f o r c e d o s c i l l a t i o n$ $w h e r e L i s i n d u c t a n c e$ $R i s r e s i s t a n c e$ $C i s c a p a c i t a n a c e$ $q i s c h a r g e$ $ε i s m o t i o n e m f$ $t i s t i m e$

Question Number 95598 Answers: 0 Comments: 0

If sin^(−1) x_1 +sin^(−1) x_2 +...+sin^(−1) x_(2n) =nπ, then Σ^(2n) _(i, j=1_(i ≠ j) ) x_i x_j =

$If \sin^{- 1} x_{1} + \sin^{- 1} x_{2} + . . . + \sin^{- 1} x_{2 n} = n π,$ $then \underset{\underset{i \neq j}{i, j = 1}}{\sum^{2 n}} x_{i} x_{j} =$

Question Number 95597 Answers: 0 Comments: 1

The value of cosec^2 (π/7)+cosec^2 ((2π)/7)+cosec^2 ((3π)/7) is

$The value of$ ${cosec}^{2} \frac{π}{7} + {cosec}^{2} \frac{2 π}{7} + {cosec}^{2} \frac{3 π}{7} is$

Question Number 95593 Answers: 0 Comments: 2

if f(x) = ((sin x)/((1 + x^2 +x^6 )^2 )) is odd, find ∫_(−3) ^3 f(x) dx

$if f (x) = \frac{\sin x}{{(1 + x^{2} + x^{6})}^{2}} is odd,$ $find \underset{- 3}{\int^{3}} f (x) d x$

Question Number 95586 Answers: 1 Comments: 1

find ∫ (dx/(x^n (x+1)^m )) m and n integr

$f i n d \int \frac{d x}{x^{n} {(x + 1)}^{m}}$ $m a n d n i n t e g r$

Question Number 95585 Answers: 1 Comments: 0

calculate ∫_2 ^(+∞) (dx/((x−1)^4 (x^2 +x+1)^2 ))

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

Question Number 95584 Answers: 3 Comments: 0

calculate ∫_1 ^(+∞) (dx/(x^3 (2x+1)^4 )) 1)without use of decomposition 2)by use of decomposition

$c a l c u l a t e \int_{1}^{+ \infty} \frac{d x}{x^{3} {(2 x + 1)}^{4}}$ $1) w i t h o u t u s e o f d e c o m p o s i t i o n$ $2) b y u s e o f d e c o m p o s i t i o n$

Question Number 95581 Answers: 0 Comments: 0

∫ln∣cot(x/2)∣dx

$\int \ln ∣ \cot (x / 2) ∣ dx$

Question Number 95578 Answers: 0 Comments: 8

Question Number 95563 Answers: 1 Comments: 0

∫((ax^2 +bx+c)/((x−p)(x−q)(x−r)))dx

$\int \frac{{ax}^{2} + bx + c}{(x - p) (x - q) (x - r)} dx$

Question Number 95562 Answers: 1 Comments: 0

show that ∫((sin (x−θ))/(sin x))dx=xcos x−sin θlog sin x

$show that$ $\int \frac{\sin (x - θ)}{\sin x} dx = xcos x - \sin θ \log \sin x$

Question Number 95560 Answers: 1 Comments: 1

Question Number 95557 Answers: 0 Comments: 0

Question Number 95549 Answers: 3 Comments: 0

∫_(−π) ^π ∣cos^3 x∣dx

$\int_{- π}^{π} ∣ {c o s}^{3} x ∣ d x$

Question Number 95548 Answers: 0 Comments: 2

Question Number 95547 Answers: 2 Comments: 0

∫((2x^3 dx)/(2x^2 −4x+3))=?

$\int \frac{2 x^{3} d x}{2 x^{2} - 4 x + 3} = ?$

Question Number 95546 Answers: 2 Comments: 0

∫x^2 (√(a^2 +x^2 ))dx=?

$\int x^{2} \sqrt{a^{2} + x^{2}} d x = ?$

Question Number 95531 Answers: 0 Comments: 4

((tanx×ctg2x)/(tan^2 x−1))=?

$\frac{tanx \times ctg 2 x}{\tan^{2} x - 1} = ?$

Question Number 95524 Answers: 0 Comments: 4

(1/(sin10))−((√3)/(cos10))=?

$\frac{1}{\sin 10} - \frac{\sqrt{3}}{\cos 10} = ?$

Question Number 95520 Answers: 0 Comments: 0

For 0<x<(π/(6 )), all the values of tan^2 (3x)cos^2 (x)−4tan (3x)sin (2x)+16sin^2 (x) lie in the interval (a). (0,((121)/(36))) (b).(1,((121)/9)) (c). (−1,0) (d). None of these.

$For 0 < x < \frac{π}{6}, all the values of$ $\tan^{2} (3 x) \cos^{2} (x) - 4 \tan (3 x) \sin (2 x) + 16 \sin^{2} (x)$ $lie in the interval$ $(a) . (0, \frac{121}{36}) (b) . (1, \frac{121}{9}) (c) . (- 1, 0) (d) . None of these .$

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