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let f(x) =∫_0 ^1 (dt/(1+xch(t))) with x real 1) determine a explicit form of f(x) 2)find also g(x)=∫_0 ^1 (dt/((1+xch(t))^2 )) 3) calculate ∫_0 ^1 (dt/(1+3ch(t))) and ∫_0 ^1 (dt/((1+3ch(t))^2 ))

$l e t f (x) = \int_{0}^{1} \frac{d t}{1 + x c h (t)} w i t h x r e a l$ $1) d e t e r m i n e a e x p l i c i t f o r m o f f (x)$ $2) f i n d a l s o g (x) = \int_{0}^{1} \frac{d t}{{(1 + x c h (t))}^{2}}$ $3) c a l c u l a t e \int_{0}^{1} \frac{d t}{1 + 3 c h (t)} a n d$ $\int_{0}^{1} \frac{d t}{{(1 + 3 c h (t))}^{2}}$

Question Number 59526 Answers: 1 Comments: 1

calculate ∫_0 ^1 (dx/(2sh(x)+3ch(x)))

$c a l c u l a t e \int_{0}^{1} \frac{d x}{2 s h (x) + 3 c h (x)}$

Question Number 59518 Answers: 1 Comments: 1

if x+y+z=1 x^2 +y^2 +z^2 =2 x^3 +y^3 +z^3 =3 calculste x^5 +y^5 +z^5

$i f x + y + z = 1$ $x^{2} + y^{2} + z^{2} = 2$ $x^{3} + y^{3} + z^{3} = 3 c a l c u l s t e$ $x^{5} + y^{5} + z^{5}$

Question Number 59516 Answers: 1 Comments: 0

Question Number 59515 Answers: 0 Comments: 0

Question Number 59509 Answers: 2 Comments: 0

Question Number 59506 Answers: 1 Comments: 4

Question Number 59505 Answers: 2 Comments: 0

Two particles P and Q move towards each other along a straight line MN, 51 meters long. P starts fromM with velocity 5 ms^(−1) and constant acceleration of 1 ms^(−2) . Q starts from N at the same time with velocity 6 ms^(−1) and at a constant acceleration of 3 ms^(−2) . Find the time when the: (a) particles are 30 metres apart; (b) particles meet; (c) velocity of P is (3/4) os the velocity of Q.

$Two particles P and Q move towards each$ $other along a straight line M N, 51 meters$ $long . P starts from M with velocity 5 {ms}^{- 1}$ $and constant acceleration of 1 {ms}^{- 2} . Q starts$ $from N at the same time with velocity 6 {ms}^{- 1}$ $and at a constant acceleration of 3 {ms}^{- 2} .$ $Find the time when the :$ $(a) particles are 30 metres apart;$ $(b) particles meet;$ $(c) velocity of P is \frac{3}{4} os the velocity of Q .$