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IntegrationQuestion and Answers: Page 321

Question Number 23485 Answers: 0 Comments: 0

(1/(cos (x−a)cos (x−b)))

$\frac{1}{\cos (x - a) \cos (x - b)}$

Question Number 23433 Answers: 0 Comments: 0

∫_0 ^∞ X^6 e^(−x/2) dx=

$\int_{0}^{\infty} X^{6} e^{- x / 2} d x =$

Question Number 23432 Answers: 1 Comments: 0

∫_0 ^a f(x)dx=

$\int_{0}^{a} f (x) d x =$

Question Number 23402 Answers: 0 Comments: 2

Question Number 23393 Answers: 0 Comments: 1

Show that volume of a region of space bounded by a boundary surface S is V= (1/3)∫∫_(S ) rcos θdA . θ being the angle between the position vector of a point P on the surface, and the outer normal to the surface at P. r is the distance of point P from origin.

$S h o w t h a t v o l u m e o f a r e g i o n$ $o f s p a c e b o u n d e d b y a b o u n d a r y$ $s u r f a c e S i s V = \frac{1}{3} \underset{S}{\int \int} r \cos θ d A .$ $θ b e i n g t h e a n g l e b e t w e e n t h e$ $p o s i t i o n v e c t o r o f a p o i n t P o n$ $t h e s u r f a c e, a n d t h e o u t e r n o r m a l$ $t o t h e s u r f a c e a t P .$ $r i s t h e d i s t a n c e o f p o i n t P f r o m$ $o r i g i n .$

Question Number 23283 Answers: 1 Comments: 0

Compute the area of a loop of the curve 𝛒=asin 2𝛉 ; and even sketch the curve, please.

$C o m p u t e t h e a r e a o f a l o o p o f$ $t h e c u r v e ρ = a \sin 2 θ; a n d e v e n$ $s k e t c h t h e c u r v e, p l e a s e .$

Question Number 23108 Answers: 1 Comments: 0

∫e^(−x) sin2x dx

$\int e^{- x} \sin 2 x dx$

Question Number 23061 Answers: 0 Comments: 0

∫_0 ^∞ j_4 (x)dx=?

$\int_{0}^{\infty} j_{4} (x) dx = ?$

Question Number 22937 Answers: 0 Comments: 0

Question Number 22843 Answers: 1 Comments: 0

calculate the value of ∫_0 ^(1000) e^(x−[x]) dx =? where.... [x] is greatest integer functon

$c a l c u l a t e t h e v a l u e o f \int_{0}^{1000} e^{x - [x]} d x = ?$ $w h e r e . . . . [x] i s g r e a t e s t i n t e g e r f u n c t o n$

Question Number 22689 Answers: 1 Comments: 0

Question Number 22678 Answers: 0 Comments: 0

∫ ((9x^4 + 12x(x^3 + 1))/(2(x^3 + 1)^(1/2) )) dx

$\int \frac{{9 x}^{4} + 12 x (x^{3} + 1)}{2 {(x^{3} + 1)}^{1 / 2}} dx$

Question Number 22623 Answers: 1 Comments: 0

How is: ∫ ((x + sin(x))/(1 + cos(x))) dx = xtan((x/2)) + C

$How is : \int \frac{x + \sin (x)}{1 + \cos (x)} dx = xtan (\frac{x}{2}) + C$

Question Number 22621 Answers: 0 Comments: 0

∫(dx/(((√(1+x^2 ))−x)^n ))(n≠1)=(1/2)((z^(n+1) /(n+1))+(z^(n−1) /(n−1)))+cccccc where z=?

$\int \frac{dx}{{(\sqrt{1 + x^{2}} - x)}^{n}} (n \neq 1) = \frac{1}{2} (\frac{z^{n + 1}}{n + 1} + \frac{z^{n - 1}}{n - 1}) + cccccc$ $where z = ?$

Question Number 22562 Answers: 0 Comments: 0

solve∫_0 ^1 ln(x)dx/x^2 −x−1 dx

$s o l v e {\int^{1}}_{0} l n (x) d x / x^{2} - x - 1 d x$

Question Number 22261 Answers: 1 Comments: 0

Slove ∫xtanx dx

$Slove$ $\int xtanx dx$

Question Number 22247 Answers: 1 Comments: 0

I=∫(√)x^2 +a^2 dx

$I = \int \sqrt{} x^{2} + a^{2} dx$

Question Number 22210 Answers: 1 Comments: 0

∫((4x)/e^(3x) )dx

$\int \frac{4 x}{e^{3 x}} d x$

Question Number 22221 Answers: 1 Comments: 1

∫ ((a_0 +b_0 x^2 )/((a+x)^2 ))dx

$\int \frac{a_{0} + b_{0} x^{2}}{{(a + x)}^{2}} d x$

Question Number 22166 Answers: 1 Comments: 0

If∫_1 ^4 f(x) dx = 5 what is the value of ∫_0 ^1 f(3x +1) dx ?

$If \underset{1}{\int^{4}} f (x) d x = 5$ $what is the value of \underset{0}{\int^{1}} f (3 x + 1) d x ?$

Question Number 22151 Answers: 1 Comments: 0

integrate ∫((cosx−cos2x)/(1+cosx))dx

$i n t e g r a t e$ $\int \frac{c o s x - c o s 2 x}{1 + c o s x} d x$

Question Number 21970 Answers: 1 Comments: 0

integrate ∫sec^3 xdx

$i n t e g r a t e$ $\int {s e c}^{3} x d x$

Question Number 21904 Answers: 0 Comments: 3

Compute the area of a loop of the curve ((x^2 /a^2 )+(y^2 /b^2 ))=((2xy)/c^2 ) .

$C o m p u t e t h e a r e a o f a l o o p o f t h e$ $c u r v e (\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}) = \frac{2 x y}{c^{2}} .$

Question Number 21965 Answers: 1 Comments: 0

integrate ∫sin^3 xdx

$i n t e g r a t e$ $\int {s i n}^{3} x d x$

Question Number 21810 Answers: 1 Comments: 0

integrate ∫(x^2 /(√(1−x^2 )))dx

$i n t e g r a t e$ $\int \frac{x^{2}}{\sqrt{1 - x^{2}}} d x$

Question Number 21772 Answers: 2 Comments: 0

integrate ∫2^(4x) dx

$i n t e g r a t e$ $\int 2^{4 x} d x$

Pg 316 Pg 317 Pg 318 Pg 319 Pg 320 Pg 321 Pg 322 Pg 323 Pg 324 Pg 325

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