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find the eqn. of fourth side of square whose three sides are given in order as 2x+y-5=0, x-2y-3=0,2x+y-10=0 ...
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find the angle between the lines 4x+7y+28=0 & 7x-4y+28=0 ...
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find a line parallel to 3x+4y+5=0 at a distance 1 from the line on the side which contains origin. ...
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Find eqn. of "n" in above question. ...
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θ is the angle between line l : x+√3y+4=0 and m : x-√3y+4=0. With slope tanθ a line "n" is drawn which is concurrent to "l" and "m". Find the angle between line "m" & "n" ...
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find the angle between the lines 2x-y+5=0 & x-2y+7=0 ...
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∫[(3x+2)/x(x+1)3]dx ...
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∫[1/x(x2+1)]dx ...
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∫[(x5+x4-8)/(x3-4x)]dx ...
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∫[(3x2+x-2)/{(x2+1)(x-1)}]dx ...
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∫[(3x+4)/{(x+1)(x-1)2}]dx ...
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∫[(3x2+5x+7)/{x(x2-1)}]dx ...
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∫[(x2+9x+17)/{(x+3)(x+5)}]dx ...
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∫[(x+2)/{(x+3)(x+5)}]dx ...
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∫[1/(x2-1)]dx ...
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∫[x/(x+1)]dx ...
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∫(lnx/x)dx ...
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∫tan-1√xdx ...
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∫(x+1)lnxexdx= ...
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∫cosxexdx ...
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∫sin-1xdx ...
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∫xtan-1xdx ...
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∫xcosxdx ...
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∫xlnxdx= ...
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∫lnxdx= ...
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∫[xex2/√(1+ex2)] ...
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∫[1/(√x+x)]dx ...
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∫[1/√(a2+x2)3]dx ...
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∫[(x+1)/√(5x2+10x+16)]dx ...
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∫[1/(1+sin(2x))]dx ...