Higher mathematics calculation integral ∫ cos (√ x-1) DX for help

Higher mathematics calculation integral ∫ cos (√ x-1) DX for help


Let √ X-1 = TX = (T + 1) & # 178; DX = 2 (T + 1) DT ∫ cos (√ x-1) DX = ∫ 2 (T + 1) costdt = ∫ 2tcostdt + ∫ costdt ∫ 2tcostdt = ∫ 2tdsint = 2tsint-2 ∫ sintdt = 2tsint + 2cost + Sint + C = (2t + 1) Sint + 2cost + C = (2 √ x-1) sin (√ x-1) + 2CO



Higher number: integral ∫ [√ 2,0] 1 / (4 + 2x ^ 2) DX


∫ (0 to √ 2) 1 / (4 + 2x & sup2;) DX let x = √ 2 * tany, DX = √ 2 * sec & sup2; y dy4 + 2x & sup2; = 4 + 2 (√ 2 * tany) & sup2; = 4 + 2 * Tan & sup2; y = 4 (1 + Tan & sup2; y) = 4sec & sup2; y if x = 0, y = 0; if x = √ 2, y = π / 4, the original formula = √ 2 * 1 / 4 ∫ (0 to π / 4) se



How to calculate ∫ (2x + 1) / √ (x ^ 2 + 2x + 2) DX


The original formula = ∫ (2x + 1) / √ [(x + 1) ² + 1] DX makes x + 1 = TANU, then √ [(x + 1) ² + 1] = secu, DX = sec & #178; UDU = ∫ [(2tanu-1) / secu] sec & #178; UDU = ∫ [2tanuseu secu) Du = 2secu - ln | secu + TANU | + C = 2 √ (X & # 178; + 2x + 2) - ln | (X & # 17



Solving equations and application problems
2x-3.6 = 8.4
The water charge in September is 1000 yuan. October is 315% less than September. How much is the water charge in October?
On a map with a scale of 1:5000000, the measurement is 8cm. If AB starts at the same time, a is 40km / h, B is 50km / h. how many hours does it take to meet each other?


2 / 2 x-3.6 = 8.4
1 / 2 x = 8.4 + 3.6
1 / 2 x = 12
x=24
The water charge in September is 1000 yuan. October is 315% less than September. How much is the water charge in October?
1000×(1-31.5%)
=1000×68.5%
=685 yuan
A: the water charge in October is 685 yuan
On a map with a scale of 1:5000000, the measurement is 8cm. If AB starts at the same time, a is 40km / h, B is 50km / h. how many hours does it take to meet each other?
8×5000000
=4000000cm
=400 km
400÷(40+50)
=400÷90
=40 out of 9
=Four and four ninths of an hour
A: it takes 4 and 4 / 9 hours to meet



How long does a 1 watt bulb last


1 degree = 1kwh = 1000WH
So it can be used for 1000 hours



Simple calculation of 120 × 4 △ 120 × 4


120×4÷120×4
=120÷120×4×4
=1×16
=16



How much energy can a 24ah12v battery store?


24Ah is the capacity of 10A current discharge, can discharge 2.4 hours



(6-7 of 8-13) × 2 of 7


(6-7 of 8-13) × 2 of 7
=[8 - (6 / 13 + 7 / 13)] × 2 / 7
=(8-1) × 2 / 7
=7 × 2 / 7
=2



How much centigrade is one joule
One joule of energy can make the water temperature rise several degrees centigrade


Joule is the unit of energy, centigrade is the unit of temperature, can not be converted



)*20 = 24 parts () = 6 parts = 0.75


1) (3 / 20) / 20 = 3 / 40.2) () / 24 = 3 / 20, so () = 24 * (3 / 20) = 18 / 5