Question and Answers Forum

IntegrationQuestion and Answers: Page 108

Question Number 129273 Answers: 0 Comments: 0

please answer my question

Question Number 129269 Answers: 1 Comments: 0

∫_1 ^a ((4(√x) +k)/( (√x) +1)) = 4a+3 . Find the value of ∫_1 ^( a) (1/( (√x) +1)) dx .

$\int_{1}^{a} \frac{4 \sqrt{x} + k}{\sqrt{x} + 1} = 4 a + 3 . Find the value$ $of \int_{1}^{a} \frac{1}{\sqrt{x} + 1} d x .$

Question Number 129251 Answers: 3 Comments: 1

Question Number 129240 Answers: 0 Comments: 0

∫e^x^x dx please help me

$\int e^{x^{x}} dx please help me$

Question Number 129230 Answers: 1 Comments: 0

V=∫_0 ^( 1) arctan ((x/y)) dx ?

$V = \int_{0}^{1} \arctan (\frac{x}{y}) dx ?$

Question Number 129228 Answers: 0 Comments: 1

H = ∫ tan x tan 2x tan 3x dx ?

$H = \int \tan x \tan 2 x \tan 3 x dx ?$

Question Number 129223 Answers: 1 Comments: 0

W = ∫ ((cos 5x+cos 4x)/(2cos 3x−1)) dx

$W = \int \frac{\cos 5 x + \cos 4 x}{2 \cos 3 x - 1} dx$

Question Number 129212 Answers: 2 Comments: 0

M = ∫ (√(x+(√(x^2 +5)))) dx ?

$M = \int \sqrt{x + \sqrt{x^{2} + 5}} dx ?$

Question Number 129180 Answers: 2 Comments: 2

... nice calculus... calculate:: φ=^(???) ∫_0 ^( (π/4)) (dx/((sin(x)+cos(x)+(√2) )^2 ))

$. . . n i c e c a l c u l u s . . .$ $c a l c u l a t e ::$ $ϕ \overset{? ? ?}{=} \int_{0}^{\frac{π}{4}} \frac{d x}{{(s i n (x) + c o s (x) + \sqrt{2})}^{2}}$

Question Number 129177 Answers: 1 Comments: 0

G = ∫ ((sin^2 x+sin x)/(1+sin x+cos x)) dx ?

$G = \int \frac{\sin^{2} x + \sin x}{1 + \sin x + \cos x} dx ?$

Question Number 129173 Answers: 1 Comments: 0

J = ∫ (dθ/(tan θ+cot θ+sec θ+csc θ)) ?

$J = \int \frac{d θ}{\tan θ + \cot θ + \sec θ + \csc θ} ?$

Question Number 129159 Answers: 1 Comments: 0

Question Number 129158 Answers: 1 Comments: 0

Question Number 129150 Answers: 1 Comments: 0

∫_0 ^( x) (x−u)^2 u f(u) du = 4x−6sin x+2xcos x f(x)=?

$\int_{0}^{x} {(x - u)}^{2} u f (u) du = 4 x - 6 \sin x + 2 xcos x$ $f (x) = ?$

Question Number 129068 Answers: 1 Comments: 0

Question Number 129064 Answers: 1 Comments: 0

valuate the following integral I=∫_1 ^∞ (dt/((t)^(2k+v+(3/2)) (√(t−1)))) and prove that: I=(√π)((Γ(v+1))/(Γ(v+(3/2)))) ((((((v+1)/2))_k (1+(v/2))_k )/(((v/2)+(3/4))_k ((v/2)+(5/4))_k )))

$v a l u a t e t h e f o l l o w i n g i n t e g r a l$ $I = \int_{1}^{\infty} \frac{d t}{{(t)}^{2 k + v + \frac{3}{2}} \sqrt{t - 1}}$ $a n d p r o v e t h a t :$ $I = \sqrt{π} \frac{Γ (v + 1)}{Γ (v + \frac{3}{2})} (\frac{{(\frac{v + 1}{2})}_{k} {(1 + \frac{v}{2})}_{k}}{{(\frac{v}{2} + \frac{3}{4})}_{k} {(\frac{v}{2} + \frac{5}{4})}_{k}})$

Question Number 129060 Answers: 1 Comments: 0

φ = ∫ ((ln (x))/x^2 ) dx

$ϕ = \int \frac{\ln (x)}{x^{2}} dx$

Question Number 129057 Answers: 2 Comments: 0

∫_1 ^∞ (1/(1+x^3 ))dx = ...

$\int_{1}^{\infty} \frac{1}{1 + x^{3}} dx = . . .$

Question Number 129038 Answers: 1 Comments: 0

∫ ((5e^(4t) +10e^(2t) +2)/(e^(2t) +2)) dt

$\int \frac{{5 e}^{4 t} + {10 e}^{2 t} + 2}{e^{2 t} + 2} dt$

Question Number 129033 Answers: 0 Comments: 1

prove using the first principle that the derivative of sin x is cox x and that the derivative of cos x is −sinx

$p r o v e u s i n g t h e f i r s t p r i n c i p l e t h a t$ $t h e d e r i v a t i v e o f s i n x i s c o x x a n d$ $t h a t t h e d e r i v a t i v e o f c o s x i s$ $- s i n x$

Question Number 129031 Answers: 1 Comments: 0

Given that tan^(−1) x show that (dy/dx) = (1/(1+x^2 ))

$G i v e n t h a t {t a n}^{- 1} x s h o w t h a t$ $\frac{d y}{d x} = \frac{1}{1 + x^{2}}$

Question Number 129014 Answers: 2 Comments: 1

∫_(−(1/2)) ^( −(1/4)) x(x+1) (√(1+(1/x^2 )+(1/((x+1)^2 )))) dx =?

$\int_{- \frac{1}{2}}^{- \frac{1}{4}} x (x + 1) \sqrt{1 + \frac{1}{x^{2}} + \frac{1}{{(x + 1)}^{2}}} d x = ?$

Question Number 129009 Answers: 1 Comments: 0

Given f(x+1)=((1+f(x))/(1−f(x))) ; f(2)=2 and ∫_2 ^( 2018) x.f(2018)dx=2^a .3^b .5^c .7^d .11^e .101^f then a+b+c+d+e +f=__

$Given f (x + 1) = \frac{1 + f (x)}{1 - f (x)}; f (2) = 2$ $and \int_{2}^{2018} x . f (2018) dx = 2^{a} . 3^{b} . 5^{c} . 7^{d} . 11^{e} . 101^{f}$ $then a + b + c + d + e + f =__$

Question Number 129001 Answers: 2 Comments: 0

∫_1 ^∞ (dx/(1+x^4 )) = ...

$\int_{1}^{\infty} \frac{dx}{1 + x^{4}} = . . .$

Question Number 128985 Answers: 0 Comments: 0

∫ ln (tan x) ln (sin x) dx ?

$\int \ln (\tan x) \ln (\sin x) dx ?$

Question Number 128983 Answers: 1 Comments: 1

∫ ((√x)/(x−1)) dx =?

$\int \frac{\sqrt{x}}{x - 1} dx = ?$

Pg 103 Pg 104 Pg 105 Pg 106 Pg 107 Pg 108 Pg 109 Pg 110 Pg 111 Pg 112

Contact: info@tinkutara.com