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AllQuestion and Answers: Page 1200
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Question and Answers Forum |
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AllQuestion and Answers: Page 1200 |
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| Solve x^2 y′′+xy′+x^2 y=0 |
| Σ_(n=1) ^∞ (1/2^n )tan((1/2^n )) |
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| f(x) = xe^(−x) f^((2020)) (x) = |
| If sin^(−1) (1−x)−2 sin^(−1) x = (π/2), then x= |
| The value of sin (π/(14)) sin ((3π)/(14)) sin ((5π)/(14)) is |
| ∫e^(arcsinx) dx |
| find the infinite sumΣ_(n=0) ^∞ (F_n /2^n ) where F_n =(1/(√5))(((1+(√5))/2))^(n+1) −(1/(√5))(((1−(√5))/2))^(n+1) |
| If sin(28) = a and cos(32) = b Find (i) cos(28) (ii) cos(64) (iii) sin(4) |
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| ∫_0 ^(√(arccos(((−2φ)/π)+1))) x sin(x^2 ) dx |
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| ∫(1/(x+(√(x^2 +x+1))))dx |
| ∫(√(x+(√(x^2 +6 ))))dx |
| Solve the differential equation: x y_3 +(1−2x^2 )y_2 −8x _ y_1 −4y= e^x |
| Use gamma function to prove (i) . ∫_0 ^( (𝛑/8)) cos^3 4x dx= (1/6). (ii). ∫_0 ^( (𝛑/6)) cos^4 3𝛉 sin^2 6𝛉 d𝛉 = ((5𝛑)/(192)). |
| find the sum of Σ_(n=1) ^∞ (((−1)^n )/((2n+1)3^n )) |
| ∫_0 ^(infinity) Sin^4 3x/x^2 dx |
| find lim_(x→0) (((^3 (√(1+cos(2x)))−(^3 (√2)))/(x^2 sin(3x))) |
| prove that Σ_(n=1) ^∞ (1/(2n(2n−1)))=ln2 |
| prove that Π_(n=2) ^∞ (1−(1/n^2 ))=(1/2) |
| Find the area enclose by the line y = x − 1 and the parabola y^2 = 2x + 6 |
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| given that α and β are roots of the equation aχ^2 +bχ+c=0. show that λμb^2 =ac(λ+μ)^(2 ) where (α/β)=(λ/μ) |
| x^4 + (1/x^4 ) = 527 (x−1)(x−2)(x−3)(x−4) ? |
Pg 1195 Pg 1196 Pg 1197 Pg 1198 Pg 1199 Pg 1200 Pg 1201 Pg 1202 Pg 1203 Pg 1204 |