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DIPTI PUBLICATION ( AP EAMET)-DEFINITE INTEGRATION-EXERCISE 1B
- Evaluate underset(-pi//2)overset(pi/2)int sin|x| dx
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- int(0)^(1)|sin2pix|dx=
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- int(0)^(pi//4)[sqrt([1-sin2x)/(1+sin2x)]dx=
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- int(0)^(100pi)sqrt(1-cos2x)dx=
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- int(0)^(pi)|costheta-sintheta|d""theta
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- The integral int(0)^(x) sqrt(1+4 sin^(2). x/2 - 4 sin. x/2 )dx equals
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- int(-1)^(3//2)|xsinpix|dx
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- Lt(xto0)((int(0)^(x)sin^(3)x)/(x^(4)))=
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- int(0)^(pi//3) |tan x - 1|dx=
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- Lt(xto0)(x^(2))/(int(0)^(x)Tan^(-1)tdt)
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- If int(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2)))=(pi)...
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- int(0)^(pi//2)(sinx)/(x)dx lies between
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- A(x)=|{:(x+1,2x+1,3x+1),(2x+1,3x+1,x+1),(3x+1,x+1,2x+1):}|" then "int(...
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- If f(x)=|{:(2cos^(2)x,sin2x,-sinx),(sin2x,2sin^(2)x,cosx),(sinx,-cosx,...
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- If f(x)=|{:(cosx,1,0),(1,2cosx,1),(0,1,2cosx):}|" then "int(0)^(pi//2)...
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- If f(x)=|{:(sinx+sin2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,si...
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- Lt(xto0)((int(0)^(x)sin^(2)tcostdt)/x^3)=
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- Lt(xto0)((int(0)^(x)tan^(2)tsec^(2)tdt)/(x^(3)))=
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- Lt(xtoo)((int(0)^(x)cos^(3)tdt)/(x))=
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- If f(t)=int(-t)^(t)(e^(-|x|))/(2)dx" then "lim(ttooo)f(t)=
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