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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - III
- Let I(n) = int(0)^(1//2)(1)/(sqrt(1-x^(n))) dx where n gt 2, then
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- If f(x) = 2^(|x|) where [x] denotes the fractional part of x. Then wh...
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- Let f(x) = int(0)^(x)|2t-3|dt, then f is
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- Let f(x) = int(0)^(pi)(sinx)^(n) dx, n in N then
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- Let f(x) be a function satisfying f(x) f(x+2) = 10 AA x in R, then
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- Let I(n) = int(0)^(pi)(sin^(2)(nx))/(sin^(2)x)dx, n in N then
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- Let f(x) be a continuous function and I = int(1)^(9) sqrt(x)f(x) dx, t...
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- Let A = int(1)^(e^(2))(lnx)/(sqrt(x))dx, then
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- Let f(a,b) = int(a)^(b)(x^(2)-4x+3)dx, (bgt 0) then
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- Let I = int(2)^(oo)((2x)/(x^(2)+1)- (1)/(2x+1)) dx & I is a finite r...
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- Let f(x) is a quadratic expression with positive integral coefficient...
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- I(1) = int(0)^(pi)(xsinx)/(1+cos^(2)x)dx, I(2) = int(0)^(pi)(x^(2)sin...
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- Let L(1) = lim(xrarr0^(+)) (int(0)^(x^(2)) sinsqrt(t)dt)/(x-sinx), the...
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- lim(nrarroo) ((1^(k)+2^(k)+3^(k)+"......"n^(k)))/((1^(2)+2^(2)+"....."...
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- Let T(n) = sum(r=1)^(n) (n)/(r^(2)-2r.n+2n^(2)), S(n) = sum(r=0)^(n)(n...
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- A function satisfying int0^1f(tx)dt=nf(x), where x>0 is
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- Find the area bounded by y=sin^(-1)x ,y=cos^(-1)x ,a n dt h ex-a xi sd...
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- Let f(x) be a non-negative, continuous and even function such that are...
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- Let 'c' be a positive real number such that area bounded by y = 0 , y...
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- Area bounded by y = x^(2)- 2|x| and y = -1 is equal to
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