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MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
- If int0^y cos t^2\ dt = int0^(x^2)\ sint/t \ dt, then dy/dx is equal t...
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- let f(x)=int(t^2-t+1)dt,AA x in (3,4), then the difference between th...
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- Ifint(sinx)^1t^2f(t)dt=1=1-s inx ,w h e r ex in (0,pi/2), then find t...
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- The smallest interval [a,b] such that overset(1)underset(0)int (1)/...
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- Given that n is odd and m is even integer. the value of int (0) ^(x ) ...
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- underset(n to oo)"lim"underset(r=1)overset(n)sum((r^(3))/(r^(4) + n^(4...
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- underset(n to oo)lim" " underset(r=2n+1)overset(3n)sum (n)/(r^(2)-...
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- lim(n->oo)[(1+1/n^2)(1+2^2 /n^2)(1+3^2 /n^2)......(1+n^2 / n^2)]^(1/n)
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- underset(nrarroo)"lim"[sin'(pi)/(n)+sin'(2pi)/(n)+"......"+sin'((n-1))...
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- Lim(n->oo)[1/n^2 * sec^2 (1/n^2)+2/n^2 * sec^2 (4/n^2)+..............+...
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- If int (0)^(x^(2)) f(t) dt = x cos pix , then the value of f(4) is
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- If C0/1+C1/2+C2/3=0 , where C0 C1, C2 are all real, the equation C2x...
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- Let I (1) = int (1) ^(2) (dx )/(sqrt(1 + x ^(2))) and I (2) = int (1) ...
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- If I(n)=underset(0)overset(pi//4)inttan^(n)x dx, then (1)/(I(2)+I(4)...
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- If I (1) = int (0) ^(1) 2 ^(x ^(2)) dx, I (2) = int (0) ^(1) 2 ^(x ^(3...
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- If u (n) = int (0) ^(pi//2) x ^(n) sin x dx, n in N then the value of ...
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- The vlaue of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(...
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- In = int0^(pi/4) tan^n x dx , then the value of n(l(n-1) + I(n+1)) is
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- The value of the integral l = int(0)^(1) x(1-x)^(n) dx is
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- Let I (1) = int (0) ^(1) (e ^(x) dx )/( 1 + x) and I (2) = int (0) ^(1...
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