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Friday, 31 March 2023

Integrating dx/x2.sqrt.(x²+1)



 

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Labels: Integration

Friday, 24 March 2023

Derivative of cosec^-1x with respect to 'x'.


 

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Labels: Differentiation

Thursday, 23 March 2023

Integrating (sin²x-cos²x)/(sinxcosx)dx (CBSE2017)..


 

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Labels: Integration

Derivative of sec^-1x with respect to 'x'.


 

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Labels: Differentiation

Tuesday, 14 March 2023

If x^y+y^x=a^b, then find dy/dx.



 

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Labels: Differentiation

Monday, 13 March 2023

Derivative of tan^-1sqrt(a-x)/(a+x) with respect to 'x'.


 

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Labels: Differentiation

Saturday, 11 March 2023

Derivative of sec^-1x with respect to 'x'.


 

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Labels: Differentiation

Friday, 10 March 2023

Differentiating cos^-1(x-x^-1)/(x+x^-1) with respect to x.


 

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Labels: Differentiation

Thursday, 9 March 2023

Integrating dx/(x²+a²)

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Labels: Integration

Wednesday, 8 March 2023

Integrating √secx/(√secx+√cosecx)dx with limits 0 to π/2.(isc2000).


 

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Labels: Integration

Sunday, 5 March 2023

Integrating squaroot(1-sin2x)dx ; π/4


 

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Labels: Integration

Thursday, 2 March 2023

Evaluate int.sec^3dx.(cbse2020).


 

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Labels: Integration
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Integrating (1/(1-cosx)) -(1/(1+cosx)) w.r.t x.

 

  • Use the remainder theorem to factorise the following expression: 2x^3+x^2-13x+6. [icse 2010]
     
  • If (7m + 2n)/(7m - 2n) = 5/3 ; use the properties of proportion to find:(i) m:n. (ⅱ) (m ^ 2 + n ^ 2)/(m ^ 2 - n ^ 2). [icse 2017]
    (i) m:n  Given that , (7m + 2n)/(7m - 2n) = 5/3 Applying componendo and dividendo, we get, ((7m + 2n) + (7m - 2n))/((7m + 2n) - (7m - 2n)) =...
  • Find the values of p and q for which the following system of equations has infinite number of solutions: 2x + 3y = 7 , (p + q) * x + (2p - q) * y = 21 [cbse 10th 2001]
     

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