Question and Answers Forum

let f(λ) =∫_(−∞) ^(+∞) ((sin( λe^x +e^(−x) ))/(x^2 +λ^2 ))dx with λ≥0 1) detdrmine a explicit form of f(λ) 2) calculate f^′ (λ) at form ofintergral and find its value.

$l e t f (λ) = \int_{- \infty}^{+ \infty} \frac{s i n (λ e^{x} + e^{- x})}{x^{2} + λ^{2}} d x w i t h λ ⩾ 0$ $1) d e t d r m i n e a e x p l i c i t f o r m o f f (λ)$ $2) c a l c u l a t e f^{^{'}} (λ) a t f o r m o f i n t e r g r a l a n d f i n d$ $i t s v a l u e .$

Question Number 77751 Answers: 0 Comments: 2

calculate ∫_(−∞) ^(+∞) ((cos(e^x +e^(−x) ))/((x^2 +x+1)^2 ))dx

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

Question Number 77729 Answers: 0 Comments: 0

prove that ∫_(−π) ^π cos(2x) cos(3x) cos(4x)....cos(2005x)dx>0

$p r o v e t h a t$ $\int_{- π}^{π} c o s (2 x) c o s (3 x) c o s (4 x) . . . . c o s (2005 x) d x > 0$

Question Number 77716 Answers: 1 Comments: 2

∫sin(x^4 ) dx

$\int s i n (x^{4}) d x$

Question Number 77675 Answers: 1 Comments: 0

∫_( 0) ^( ∞) 3(2x − (3/x))^2 dx

$\int_{0}^{\infty} 3 {(2 x - \frac{3}{x})}^{2} dx$

Question Number 77608 Answers: 0 Comments: 0

∫((( ln∣tan(((nx)/2)+(π/4))∣ )^2 )/(x^2 +1)) dx ;n>0

$\int \frac{{(l n ∣ t a n (\frac{n x}{2} + \frac{π}{4}) ∣)}^{2}}{x^{2} + 1} d x; n > 0$

Question Number 77603 Answers: 1 Comments: 1

∫((10x^2 −8x+1)/(x^4 −x^3 −x+1))dx

$\int \frac{10 x^{2} - 8 x + 1}{x^{4} - x^{3} - x + 1} d x$

Question Number 77593 Answers: 0 Comments: 10

Question Number 77570 Answers: 1 Comments: 0

∫_( 0) ^( 1) log(((1 + x + x^2 + x^3 + x^4 )/(√(1 + (1/x) + (1/x^2 ) + (1/x^3 ) + (1/x^4 ))))) dx

$\int_{0}^{1} \log (\frac{1 + x + x^{2} + x^{3} + x^{4}}{\sqrt{1 + \frac{1}{x} + \frac{1}{x^{2}} + \frac{1}{x^{3}} + \frac{1}{x^{4}}}}) dx$

Question Number 77552 Answers: 1 Comments: 0

∫((x−2)/(x^2 −x+1))dx = ?

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

Question Number 77549 Answers: 0 Comments: 2

Question Number 77536 Answers: 1 Comments: 0

find all function that satisfy ∀ p>0 ∫_0 ^∞ f(t)e^(−pt) dt= e^(−pT) with T a positive real

$find all function that satisfy$ $\forall p > 0 \int_{0}^{\infty} f (t) e^{- pt} dt = e^{- pT} with T a positive real$

Question Number 77452 Answers: 0 Comments: 0

∫e^(x^3 +x^2 −1) (3x^4 +2x^2 +2x)dx

$\int e^{x^{3} + x^{2} - 1} ({3 x}^{4} + {2 x}^{2} + 2 x) dx$

Question Number 77447 Answers: 1 Comments: 0

∫ tan(x) tan(2x) tan(3x) dx

$\int \tan (x) \tan (2 x) \tan (3 x) dx$

Question Number 77424 Answers: 0 Comments: 0

∫_0 ^∞ e^((e^x −1)^t (A)) dx A and t are constant

$\int_{0}^{\infty} e^{{(e^{x} - 1)}^{t} (A)} d x$ $A a n d t a r e c o n s t a n t$

Question Number 77422 Answers: 1 Comments: 1

can solve ∫ (dx/(x^(17) −1)) via elementary calculus?

$can solve \int \frac{dx}{x^{17} - 1} via$ $elementary calculus ?$

Question Number 77335 Answers: 1 Comments: 4

Question Number 77323 Answers: 0 Comments: 2

Pg 194 Pg 195 Pg 196 Pg 197 Pg 198 Pg 199 Pg 200 Pg 201 Pg 202 Pg 203

Contact: info@tinkutara.com