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If int0^1 e^(x^2)(x-alpha)dx=0, then (a...

If `int_0^1 e^(x^2)(x-alpha)dx=0`, then (a)`alphalt2` (b)`alphalt0` `(c)"" 0ltalphalt1` (d) `alpha="0`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Q. if int0^100(f(x) dx = a, then sum(r=1)^100(int0^1( f(r-1+x)dx))=

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  2. Let f(x) be a derivable function satisfying f(x)=int0^x e^tsin(x-t)dt...

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  3. If int0^1 e^(x^2)(x-alpha)dx=0, then (a)alphalt2 (b)alphalt0 (c)"" 0l...

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  4. int(5/2)^5(sqrt((25-x^2)^3))/(x^4)dx is equal to

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  5. The value of int0^((3pi)/2)(|tan^(-1)(tanx)|-|sin^(-1)(sinx)|)/(|tan^(...

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  6. Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...

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  7. The value of the integral int0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (...

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  8. int0^pi(xtanx)/(secx+cosx)dx is (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2...

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  9. Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equalto" 4 (b) ...

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  10. The solution for x of the equation int(sqrt(2))^x(dt)/(tsqrt(t^2-1))=p...

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  11. Which of the following is incorrect? int(a+ c)^(b+c)f(x)dx=inta^bf(x...

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  12. The value of the integral int(-pi)^pisinm xsinn xdx , for m!=n(m , n i...

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  13. Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

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  14. int0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logx dx is equal to (a) -pi/2logpi (...

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  15. If f(x)="cos"(tan^(-1)x), then the value of the integral int0^1xf''(x)...

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  16. The equation of the curve is y=f(x)dot The tangents at [1,f(1),[2,f(2)...

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  17. The value of int1^e((tan^(-1)x)/x+(logx)/(1+x^2))dx ,is (a) tane (b)...

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  18. If f(pi) = 2 and int0^pi (f(x)+f^('')(x)) sinx dx=5, then f(0) is equa...

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  19. If int1^2e^(x^2)dx=a ,t h e ninte^(e^4)sqrt(1n x)dx is equal to (a)...

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  20. int(-pi/2)^(pi/2)(e^(|sinx|)cosx)/(1+e^(tanx))dx is equal to (a) e...

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