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`int_0^(pi/2)frac(sinx)(sinx+cosx)dx`

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Find the following integrals. int_0^(pi/2)frac(sinx)(1+cos^2x)dx

Evaluate int_0^(pi//2)sin^2x/(sinx+cosx)dx .

Find the following integrals. int_0^(pi/2)frac(1)(4sin^2x+5cos^2x)dx

Prove that int_0^(pi//2)sin^2x/(sinx+cosx)dx=int_0^(pi//2)(cos^2x)/(sinx+cosx)dx .

Using properties evaluate the following definite integrals, evaluate the following: int_0^(pi/2) (sinx-cosx)/(1+sinx cosx) dx

The value of the definite integral int_(0)^(pi//2)(sin5x)/(sinx)dx is

Find the following integrals. int_0^(pi/2)frac(sqrtsinx)(sqrtsinx+sqrtcosx)dx

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Find dy/dx of y=x^x

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  2. Find dy/dx, If x=a(t-sint) , y=a(1+cost)

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  3. int0^(pi/2)frac(sinx)(sinx+cosx)dx

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  4. Evaluate the following: int(-pi/2)^(pi/2)sin^7xdx

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  5. Evaluate the following: intxsin3xdx

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  6. Find the area bounded by the curve y= sin x with x-axis, between x=0 a...

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  7. Two fences are made in a grass field as shown in the figure . A cow is...

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  8. Find the equation of the plane through the intersection of the planes ...

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  9. The Cartesian equation of two lines are given by (x+1)/7=(y+1)/-6=(z+1...

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  10. Find the shortest distance between the lines (x+1)/7=(y+1)/-6=(z+1)/1 ...

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  11. A bag contains 4 red and 4 black balls . Another bag contains 2red and...

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  12. A random variable X has the following distribution function: Find k.

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  13. A random variable X has the following distribution function: Find the...

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  14. Find the equation of a plane which makes equal intercepts of 6 units w...

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  15. Verify Rolle's Theorem for the function f(x)=x^2+2x-8 , x in [-4,2]

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  16. Form the differential equation of the family of all circles touching t...

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  17. Show that abs[[1,a,a^2],[1,b,b^2],[1,c,c^2]]=(a-b)(b-c)(c-a)

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  18. Evaluate int0^2e^xdx as limit of a sum.

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  19. if x=sin^-1frac(3)(5), then which of the following is true.

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  20. Evaluate tan(sin^-1frac(3)(5)+cot^-1frac(3)(2))

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