Answers edited by Cem Sentin

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• How do you find the partial sum of `Sigma 7n` from n=51 to 100?
  
• Question #7f1cc
  
• Question #d405a
  
• How do you integrate `int(x+1)/((6x^2+4)(x-5))` using partial fractions?
  
• How do you evaluate `int (sin^3x)^(1/2)(cosx)^(1/2)` from `[0,pi/2]`?
  
• `int (x^2-1)/(x^4+x^2+1) dx`?
  
• `int_(-1)^1x^2/(sqrt(x^2+1)+x+1)dx` = ?
  
• How do you solve the system of equations `2x-y+3z=-1`, `x+2y-4z=-1` and `y-2z=0` by elimination?
  
• `int_0^(pi/2) dx/(1+2sinx+cosx)`?
  
• How to use substitution to solve this integral? `∫_0^1dx/(sqrtx+5root(3)x)`
  
• Using trigonometric substitution what is the integral of `intdx/(x^2sqrt(x^2-1)` ?
  
• Question #39670
  
• How do you find the nth term rule for `1,5,9,13,...`?
  
• How do you evaluate `\int x ^ { 4} \sqrt { x ^ { 2} - 4} d x`?
  
• How do you integrate `(5x+1)/((x+3)(x+2)(x-4))` using partial fractions?
  
• Solve for *b* if `1-b/(4+isqrt3)+b/(4-isqrt3)=0`?
  
• Simple integral: `int {-3x+5}/{x^2-2x+5}dx=?`
  
• Question #ce8c7
  
• Question #6f0de
  
• How do you factor `4p ^ { 2} - 16p - 84`?
  
• How do you integrate `int x^3/sqrt(64+x^2)` by trigonometric substitution?
  
• Verify: 2Arctan 1/2 = Arctan 4/3 ?
  
• Question #d4611
  
• Question #092c3
  
• How do you integrate `f(x)=e^(3x)/(1+e^x)` using the quotient rule?
  
• Question #908df
  
• What is the integral of `sin(101x)sin^99(x)dx`?
  
• How do you solve `a+3b+2c=3` , `2a-b-3c= -8`, `5a+2b+c=9` using matrices?
  
• Question #fb4e0
  
• Question #3675d
  
• Question #3cdcc
  
• How do you evaluate `1/2 +3/(x-2) = (2x+3)/(2x-4)`?
  
• How will you integrate ? `int(dx)/(1+x^4)^2`
  
• Solve for x using properties of logarithms: log2(32)-log3(x)=log5(25)?
  
• How do you solve `\frac { \tan \theta - \tan 27^ { \circ } } { 1+ \tan \theta \tan 27^ { \circ } } = 1`?
  
• Question #45e53
  
• Question #173f9
  
• How do you write the partial fraction decomposition of the rational expression `x^2/((x-1)(x+2))`?
  
• Find the inverse of matrix B={(-1,-3,0),(2,4,0)(-1,-1,2)} by finding the adjoint as well as using Cayley-Hamiltion theorem?
  
• Integral `int_(1/e)^e ln(x)^2018/(x+1) dx` ?
  
• How do you evaluate an integral with an absolute value? Question below.
  
• Evaluate the definite integral.?
  
• How do you solve the system `9x + 9y + z = -112`, `8x + 5y - 9z = -137`, `7x + 4y + 3z = -64`?
  
• Question #d811b
  
• Solve the differential equation `(dy)/(dx)=(x+2y+3)/(2x+y+3)` ?
  
• How do you integrate `int(x+1)/((x^2-2)(3x-1))` using partial fractions?
  
• Question #359ad
  
• How do you solve the system `x+2y+5z=-1`, `2x-y+z=2`, `3x+4y-4y=14`?
  
• How do you find the derivative of the function: `y = arctan(x - sqrt(1+x^2)`?
  
• Question #5bc91
  
• Question #c5bb3
  
• How do you integrate `int x^2/sqrt(x^2+1)` by trigonometric substitution?
  
• Question #668e4
  
• How do you solve the system `x-4y+4z=-1`, `y-3z=5`, and `3x-4y+6z=1`?
  
• Question #9ae3f
  
• How do you integrate `(x^3+25)/(x^2+4x+3)` using partial fractions?
  
• How do you solve `7x - 10= - 6x ^ { 2}`?
  
• Question #eece4
  
• Question #36f17
  
• How do you solve the following linear system: `4x+9y=-53 , -6x-4y=32`?
  
• Question #e9266
  
• Question #7d3ed
  
• How do you integrate `int (3-2x)/(x(x²+3))` using partial fractions?
  
• If secA-tanA=a,show that ; secA=1/2[a+1/a]& tanA=1/2[1/a-a]?
  
• Question #b3951
  
• Laplace transforms... How do I go about getting `y`? `y''-2y'-3y=0`, `y(4)=-3`, `y'(4)=-17`
  
• Question #11b8e
  
• Question #c6898
  
• Question #e678e
  
• Question #11b8e
  
• Question #c5bb3
  
• Prove that `(1+sinβ-cosβ)/(1+sinβ+cosβ) +(1+sinβ+cosβ)/(1+sinβ-cosβ)=2cscbeta`?
  
• Question #0053d
  
• Question #872b5
  
• 3x^3+x^2=48x+16?
  
• How can I integrate `int 1/(x^4+x) dx` using partial fractions?
  
• How do you integrate `int(x+1)/((2x-4)(x-4)(x-7))` using partial fractions?
  
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