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IntegrationQuestion and Answers: Page 290

Question Number 35580 Answers: 0 Comments: 0

if (1/(1+cosx)) = (a_0 /2) +Σ_(n=1) ^∞ a_n cos(nx) calculate a_0 and a_n

$i f \frac{1}{1 + c o s x} = \frac{a_{0}}{2} + \sum_{n = 1}^{\infty} a_{n} c o s (n x) c a l c u l a t e a_{0}$ $a n d a_{n}$

Question Number 35551 Answers: 0 Comments: 1

Question Number 35550 Answers: 0 Comments: 0

Question Number 35549 Answers: 0 Comments: 1

Question Number 35548 Answers: 0 Comments: 0

Question Number 35547 Answers: 0 Comments: 0

Question Number 35546 Answers: 0 Comments: 0

Question Number 35545 Answers: 0 Comments: 0

Question Number 35544 Answers: 0 Comments: 1

Question Number 35543 Answers: 0 Comments: 0

Question Number 35541 Answers: 0 Comments: 3

Question Number 35471 Answers: 0 Comments: 0

∫_a ^b f(x)dx=area under the curve but say why what is the meaning of ∫ ←this sign

$\int_{a}^{b} f (x) d x = a r e a u n d e r t h e c u r v e b u t s a y w h y$ $w h a t i s t h e m e a n i n g o f \int \leftarrow t h i s s i g n$

Question Number 35456 Answers: 2 Comments: 0

∫(dx/(x(x^(2018) +1)))

$\int \frac{d x}{x (x^{2018} + 1)}$

Question Number 35440 Answers: 1 Comments: 2

find the value of ∫_0 ^∞ (dx/((2x^2 +1)^2 ))

$f i n d t h e v a l u e o f \int_{0}^{\infty} \frac{d x}{{(2 x^{2} + 1)}^{2}}$

Question Number 35438 Answers: 0 Comments: 1

let m>0 and 0<a<b 1) calculate ∫_0 ^∞ ((cos(mx))/((x^2 +a^2 )(x^2 +b^2 )))dx 2)find the value of ∫_0 ^∞ ((cos(2x))/((x^2 +1)(x^2 +3)))dx

$l e t m > 0 a n d 0 < a < b$ $1) c a l c u l a t e \int_{0}^{\infty} \frac{c o s (m x)}{(x^{2} + a^{2}) (x^{2} + b^{2})} d x$ $2) f i n d t h e v a l u e o f \int_{0}^{\infty} \frac{c o s (2 x)}{(x^{2} + 1) (x^{2} + 3)} d x$

Question Number 35429 Answers: 1 Comments: 1

find ∫_0 ^1 ((2x−1)/(√(x^2 +6))) dx

$f i n d \int_{0}^{1} \frac{2 x - 1}{\sqrt{x^{2} + 6}} d x$

Question Number 35428 Answers: 1 Comments: 1

find ∫ ((x+3)/(√(x^2 +x −1)))dx

$f i n d \int \frac{x + 3}{\sqrt{x^{2} + x - 1}} d x$

Question Number 35427 Answers: 1 Comments: 1

calculate ∫_2 ^5 (e^(√(x+1)) /(√(x+1)))dx

$c a l c u l a t e \int_{2}^{5} \frac{e^{\sqrt{x + 1}}}{\sqrt{x + 1}} d x$

Question Number 35379 Answers: 2 Comments: 3

∫_0 ^( 1) t^2 (√(1+t^2 )) dt = ?

$\int_{0}^{1} t^{2} \sqrt{1 + t^{2}} d t = ?$

Question Number 35325 Answers: 1 Comments: 0

Sketch the region enclosed by the curves of y=1/x and y=1/x^2 and find the area of the region. plzz help me

$S k e t c h t h e r e g i o n e n c l o s e d b y t h e$ $c u r v e s o f y = 1 / x a n d y = 1 / x^{2} a n d$ $f i n d t h e a r e a o f t h e r e g i o n .$ $p l z z h e l p m e$

Question Number 35294 Answers: 1 Comments: 1

Question Number 35290 Answers: 0 Comments: 1

∫((x+1)/x^3 )dx

$\int \frac{x + 1}{x^{3}} d x$

Question Number 35242 Answers: 1 Comments: 1

find ∫_0 ^π ((xdx)/(1+sinx))

$f i n d \int_{0}^{π} \frac{x d x}{1 + s i n x}$

Question Number 35241 Answers: 2 Comments: 6

calculate ∫_0 ^π ((x dx)/(3 +cosx)) .

$c a l c u l a t e \int_{0}^{π} \frac{x d x}{3 + c o s x} .$

Question Number 35238 Answers: 0 Comments: 1

study the convergence of ∫_1 ^(+∞) ((e^(−3x) −e^(−2x) )/x^2 )dx

$s t u d y t h e c o n v e r g e n c e o f$ $\int_{1}^{+ \infty} \frac{e^{- 3 x} - e^{- 2 x}}{x^{2}} d x$

Question Number 35237 Answers: 0 Comments: 1

study the convergence of ∫_0 ^∞ ((e^(−x) −e^(−x^2 ) )/x)dx .

$s t u d y t h e c o n v e r g e n c e o f$ $\int_{0}^{\infty} \frac{e^{- x} - e^{- x^{2}}}{x} d x .$

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