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AllQuestion and Answers: Page 187

Question Number 197212 Answers: 0 Comments: 1

Is ∫f(x)dx=∫_0 ^x lim_(x→t) f(x)dt?

$Is \int f (x) d x = \int_{0}^{x} \lim_{x \to t} f (x) d t ?$

Question Number 197196 Answers: 1 Comments: 0

Question Number 197194 Answers: 1 Comments: 0

Question Number 197191 Answers: 1 Comments: 0

∫(1/(x^3 −3x+7))dx

$\int \frac{1}{x^{3} - 3 x + 7} d x$

Question Number 197190 Answers: 1 Comments: 2

∫_0 ^1 ^3 (√(1−x^7 )) dx − ∫^1 _0 ^7 (√(1−x^3 )) dx = ?

$\int_{0}^{1}^{3} \sqrt{1 - x^{7}} d x - {\int_{0}}^{1}^{7} \sqrt{1 - x^{3}} d x = ?$

Question Number 197188 Answers: 1 Comments: 0

Question Number 197184 Answers: 1 Comments: 0

Show that log(−logi)=log((π/2))−i(π/2)

$Show that \log (- \log i) = \log (\frac{π}{2}) - i \frac{π}{2}$

Question Number 197185 Answers: 1 Comments: 0

Simplify (((((√2))^(√3) ∙((√3))^(√2) +((√2))^(√(12)) )/(((√6))^(√2) +((√2))^((√3)+(√2)) )))^(1/((√3)−(√2)))

$Simplify$ $\sqrt[\sqrt{3} - \sqrt{2}]{\frac{{(\sqrt{2})}^{\sqrt{3}} \cdot {(\sqrt{3})}^{\sqrt{2}} + {(\sqrt{2})}^{\sqrt{12}}}{{(\sqrt{6})}^{\sqrt{2}} + {(\sqrt{2})}^{\sqrt{3} + \sqrt{2}}}}$

Question Number 197177 Answers: 0 Comments: 0

find ∫_0 ^(π/2) ln^2 (cosx)dx

$f i n d \int_{0}^{\frac{π}{2}} {l n}^{2} (c o s x) d x$

Question Number 197171 Answers: 1 Comments: 0

2^(log_3 (x^2 +1)) +2×(x^2 +1)^(log_3 2) =12 ⇒x=?

$2^{{l o g}_{3} (x^{2} + 1)} + 2 \times {(x^{2} + 1)}^{{l o g}_{3} 2} = 12$ $\Rightarrow x = ?$

Question Number 197589 Answers: 1 Comments: 0

how many natural numbers with 4 different digits are divisible by 3?

$h o w m a n y n a t u r a l n u m b e r s w i t h 4$ $d i f f e r e n t d i g i t s a r e d i v i s i b l e b y 3 ?$

Question Number 197169 Answers: 2 Comments: 0

7x+4y=2

$7 x + 4 y = 2$

Question Number 197155 Answers: 1 Comments: 0

A bullet of mass 180g is fired horizontally into a fixed wooden block with a speed of 24m/s. if the bullet is brought to rest in 0.4sec by a constant resistance, calculate the distance moved by the bullet in the wood

$A b u l l e t o f m a s s 180 g i s f i r e d$ $h o r i z o n t a l l y i n t o a f i x e d w o o d e n$ $b l o c k w i t h a s p e e d o f 24 m / s . i f t h e$ $b u l l e t i s b r o u g h t t o r e s t i n 0.4 s e c b y a$ $c o n s t a n t r e s i s t a n c e, c a l c u l a t e t h e$ $d i s t a n c e m o v e d b y t h e b u l l e t i n t h e$ $w o o d$

Question Number 197147 Answers: 2 Comments: 0

Question Number 197146 Answers: 1 Comments: 0

Find: Ω = ∫_0 ^( 1) ((Li(x))/(Ψ(x))) dx = ?

$Find : Ω = \int_{0}^{1} \frac{Li (x)}{Ψ (x)} dx = ?$

Question Number 197133 Answers: 1 Comments: 0

Question Number 197132 Answers: 1 Comments: 1

∫^( +∞) _( 0) (((ln(t+(√(1+t^2 ))))/t))^2 =(π^2 /2)

${\int_{0}}^{+ \infty} {(\frac{\ln (t + \sqrt{1 + t^{2}})}{t})}^{2} = \frac{π^{2}}{2}$

Question Number 197129 Answers: 2 Comments: 0

Question Number 197128 Answers: 1 Comments: 1

Question Number 197125 Answers: 1 Comments: 1

Question Number 197113 Answers: 1 Comments: 0

Prove that ∫^( +∞) _( 0) (((ln(t+(√(1+t^2 ))))/t))dt=(π^2 /2)

$Prove that$ ${\int_{0}}^{+ \infty} (\frac{l n (t + \sqrt{1 + t^{2}})}{t}) d t = \frac{π^{2}}{2}$

Question Number 197112 Answers: 2 Comments: 0

Question Number 197111 Answers: 1 Comments: 0

Question Number 197110 Answers: 1 Comments: 0

Question Number 197104 Answers: 0 Comments: 3

Question Number 197099 Answers: 2 Comments: 0

∫^( (π/2)) _( 0) ((ln(cost))/(sint)) dt=???

${\int_{0}}^{\frac{π}{2}} \frac{\ln (\cos t)}{\sin t} d t = ? ? ?$

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