Question and Answers Forum

All Questions Topic List

OthersQuestion and Answers: Page 51

Question Number 125283 Answers: 0 Comments: 0

∫_0 ^1 ((x^2 sin^2 (log(x+1)))/((1+(√(1+x)))^2 ))dx

$\int_{0}^{1} \frac{x^{2} {s i n}^{2} (l o g (x + 1))}{{(1 + \sqrt{1 + x})}^{2}} d x$

Question Number 125167 Answers: 0 Comments: 1

f(x)=∫((cos(sinx)+cos^2 x)/(1+sinxsin(sinx)))dx Find f(1)

$f (x) = \int \frac{c o s (s i n x) + {c o s}^{2} x}{1 + s i n x s i n (s i n x)} d x$ $F i n d f (1)$

Question Number 125086 Answers: 0 Comments: 1

Question Number 125014 Answers: 0 Comments: 0

Question Number 124892 Answers: 0 Comments: 2

1−(1/(3.3!))+(1/(5.5!))−(1/(7.7!))+...

$1 - \frac{1}{3.3!} + \frac{1}{5.5!} - \frac{1}{7.7!} + . . .$

Question Number 124891 Answers: 0 Comments: 0

∫_0 ^(π/(24)) log(tanθ)dθ

$\int_{0}^{\frac{π}{24}} l o g (t a n θ) d θ$

Question Number 124861 Answers: 0 Comments: 0

((((1/2))!)/(((3/2))!))−((((3/2))!1!)/(((5/2))!))+((((5/2))!2!)/(((7/2))!))−....

$\frac{(\frac{1}{2})!}{(\frac{3}{2})!} - \frac{(\frac{3}{2})! 1!}{(\frac{5}{2})!} + \frac{(\frac{5}{2})! 2!}{(\frac{7}{2})!} - . . . .$

Question Number 124718 Answers: 0 Comments: 1

Σ_(n=1) ^n n^2 log(n+1) (In explicit form )

$\underset{n = 1}{\sum^{n}} n^{2} l o g (n + 1) (I n e x p l i c i t f o r m)$

Question Number 124642 Answers: 0 Comments: 0

Evaluate : ∫ (4/( (√(2−((1/( ((x^2 + 1))^(1/3) )))^4 ))))dx

$E v a l u a t e :$ $\int \frac{4}{\sqrt{2 - {(\frac{1}{\sqrt[3]{x^{2} + 1}})}^{4}}} d x$

Question Number 124595 Answers: 4 Comments: 0

Given that ω = e^(iθ) , θ≠ nπ, n ∈ N show that (1) ((ω^2 −1)/ω) = 2i sin θ (2) (1 + ω)^n = 2^n cos^n ((1/2)θ)e^((1/2)(inθ))

$Given that ω = e^{i θ}, θ \neq n π, n \in N$ $show that$ $(1) \frac{ω^{2} - 1}{ω} = 2 i \sin θ$ $(2) {(1 + ω)}^{n} = 2^{n} \cos^{n} (\frac{1}{2} θ) e^{\frac{1}{2} (i n θ)}$

Question Number 124528 Answers: 0 Comments: 0

Question Number 124487 Answers: 1 Comments: 1

Question Number 124474 Answers: 1 Comments: 1

((4/(−6+i(√5))))^4 =??? polar????

${(\frac{4}{- 6 + i \sqrt{5}})}^{4} = ? ? ?$ $p o l a r ? ? ? ?$

Question Number 124461 Answers: 2 Comments: 2

∫_0 ^∞ e^(−x^7 ) sin(x^7 )dx

$\int_{0}^{\infty} e^{- x^{7}} s i n (x^{7}) d x$

Question Number 124459 Answers: 1 Comments: 1

1−(1/2)((1/2))+(1/4)((1/2).(3/4))−(1/8)(((1.3.5)/(2.4.6)))+...

$1 - \frac{1}{2} (\frac{1}{2}) + \frac{1}{4} (\frac{1}{2} . \frac{3}{4}) - \frac{1}{8} (\frac{1.3.5}{2.4.6}) + . . .$

Question Number 124347 Answers: 1 Comments: 1

Question Number 124321 Answers: 2 Comments: 0

f(x,y,z)=z^2 yz^3 A=xzi−y^2 j+2x^2 yk div(fA)=? curl(fA)=?

$f (x, y, z) = z^{2} {y z}^{3}$ $A = x z i - y^{2} j + 2 x^{2} y k$ $d i v (f A) = ?$ $c u r l (f A) = ?$

Question Number 124320 Answers: 2 Comments: 0

z+(1/z)=1 z^3 =??

$z + \frac{1}{z} = 1$ $z^{3} = ? ?$

Question Number 124300 Answers: 0 Comments: 0

Question Number 124302 Answers: 1 Comments: 0

n=2^(n−1) sin((π/n))sin(((2π)/n))....sin(((n−1)/n)π) prove

$n = 2^{n - 1} s i n (\frac{π}{n}) s i n (\frac{2 π}{n}) . . . . s i n (\frac{n - 1}{n} π) p r o v e$

Question Number 124271 Answers: 0 Comments: 0

Question Number 124178 Answers: 1 Comments: 6

∫_0 ^(π/2) (1/( (√(cos^4 x+sin^4 x))))dx

$\int_{0}^{\frac{π}{2}} \frac{1}{\sqrt{{c o s}^{4} x + {s i n}^{4} x}} d x$

Question Number 123947 Answers: 0 Comments: 0

((9^2 −1^2 )/(9^2 −2^2 )).((18^2 −1^2 )/(18^2 −0^2 )).((27^2 −1^2 )/(27^2 −2^2 )).((36^2 −1^2 )/(36^2 −0^2 )).....

$\frac{9^{2} - 1^{2}}{9^{2} - 2^{2}} . \frac{18^{2} - 1^{2}}{18^{2} - 0^{2}} . \frac{27^{2} - 1^{2}}{27^{2} - 2^{2}} . \frac{36^{2} - 1^{2}}{36^{2} - 0^{2}} . . . . .$

Question Number 123845 Answers: 1 Comments: 1

Question Number 123823 Answers: 1 Comments: 0

Question Number 123807 Answers: 0 Comments: 1

((((1/2))!(1)!)/(((5/2))!))−((((3/2))!(2)!)/(((9/2))!))+((((5/2))!3!)/((((13)/2))!))−((((7/2))!4!)/((((17)/2))!))+....

$\frac{(\frac{1}{2})! (1)!}{(\frac{5}{2})!} - \frac{(\frac{3}{2})! (2)!}{(\frac{9}{2})!} + \frac{(\frac{5}{2})! 3!}{(\frac{13}{2})!} - \frac{(\frac{7}{2})! 4!}{(\frac{17}{2})!} + . . . .$

Pg 46 Pg 47 Pg 48 Pg 49 Pg 50 Pg 51 Pg 52 Pg 53 Pg 54 Pg 55

Contact: info@tinkutara.com