Show that Integral(x/(sinx+cosx))dx=π/2√2.log(√2+1)
P. Show that Integral(x/(sinx+cosx))dx=π/2√2.log(√2+1)
(AP 2020, TS-2017 Exam Question)
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Solutions to the below questions are also available in our You tube channel
Maths 2A:
1. State and prove Addition Theorem of Probability
2. If the coefficient of x^10 in the expansion of (ax^2+1/bx
3. prove that C0Cr + C1Cr+1 + C2Cr+2 +...+ C(n-r).Cn=2nC(n+r) | Binomial Theorem
4. state and prove Baye's Theorem of Probability
5. If the letters of the word BRING are permuted, Find the 59th word
6. If x+iy=1/(1+costheta+isintheta) then show that 4x^2-1=0
7. If x is real, prove that x/(x^2-5x+9) lies between -1/11 & 1
8. If the letters of the word MASTER are permuted in all possible ways
9. Show that the four points in the argand plane represented by the complex numbers
10. Prove that 1/(3x+1)+1/(x+1)-1/(3x+1)(x+1) does not lie between 1 and 4
11. If 6 letters of the word EAMCET are permuted in all
12. Find the number of ways of selecting a cricket team of 11 play
13. Resolve (x^2-x+1)/(x+1)(x-1)^2 into partial fractions
14. If n is an integer then show that (1+i)^(2n)+(1-i)^(2n)
15. Solve x^4+4x^3-2x^2-12x+9=0, given that it has
16. Solve the equation x^4+2x^3-5x^2+6x+2=0, given that 1+i
17. Show that the points in the argand plane represented by the
18. Find the range of the expression (x^2+x+1)/(x^2-x+1)
19. Simplify:34C5+sigmar=0to4(38-r)C4
Maths 2A:
1. Evaluate Integral(log(1+tanx)dx
2. Evaluate the reduction formula for In= ..
3. Show that Integral(x/(sinx+cosx))dx=π/2√2.log(√2+1)
5. Derive equation of parabola in the standard form y^2=4ax
6. If (2,0),(0,1),(4,5),(0,c) are concyclic then find c
7. Evaluate integral of x e to the power of X by X + 1 whole square dx
8. Evaluate integral 0 to a x into a minus x whole to the power of n dx
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