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Solved Examples
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DD  Find: x -4(x + 4)x3+x2+16x dx
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DD  Evaluate: 19 -x2 dx
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DD  Evaluate: 1x3x2 - 1 dx
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DD   11 + 4x2 dx =
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DD  Evaluate: 1x2 + 2xa + 64 dx
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DD   dxa2cos27x+b2sin27x =  DD View Solution
DD   cos39x+cos59xsin29x+sin49x  dx =  DD View Solution
DD  If dx2-3x-x2 = f (g(x)) + C, then choose f(x), g(x).
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DD  Evaluate: cos 8x - sin 8x63-sin 16x dx
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DD  dxcos6 8x+sin6 8x =
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DD  If (x2-2)dx(x4+5x2+4)Tan-1(x2+2x) = k ln |tan- 1 (x2+2x)| + C, then find the value of k.
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DD   etan-12x (1 + 2x + 4x21+4x2) dx =  DD View Solution
DD   x2 - 5(x2 + 5)x4 + 25 dx =
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DD  Evaluate: (tan 5x +cot 5x) dx  DD View Solution
DD   dxsin 5x+sec  5x =
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DD  Evaluate: 1 -7x1 +7x dx  DD View Solution
DD   cos72x +cos52x sin22x+sin42x dx =  DD View Solution
DD  If sin 4(x - α)sin 4(x + α) dx= K [- cos 4α sin- 1(cos 4xcos 4α) - sin 4α ln | sin 4x + sin2 4x -sin2 4α|] + C, then find the value of K.
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DD  Evaluate: I = cosx - sinx35 - sin2xdx  DD View Solution
DD  If (1 -6x1 +6x)12dxx = - 23ln(1 +1 - 6x6x) + Kcos-16x + C, then find K.
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DD  If 5x2 + 20(x2 + 1)(x2 + 16) dx = Ktan-1(mxc+x2) + A, then find the values of K, m, c, where A is a constant of integration.
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DD  Evaluate: x2 - 6(x4 + 13x2 + 36)Tan-1(x2 + 6x)dx  DD View Solution
DD  Evaluate: sin 6x tan-1 (sin 3x) dx  DD View Solution
DD  If dx41 + 40cosx = K tan- 1(M tanx2) + C, then which of the following is correct?  DD View Solution
DD  Evaluate 1-x1+xdx  DD View Solution
DD  Evaluate: 1x7x2 - 1 dx
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DD   11 + 16x2 dx =
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DD  Evaluate: 149 -x2 dx
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DD  Evaluate: 1x2 + 2xa + 81 dx
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DD   dxa2cos23x+b2sin23x =  DD View Solution
DD   cos36x+cos56xsin26x+sin46x  dx =  DD View Solution
DD   etan-14x (1 + 4x + 16x21+16x2) dx =  DD View Solution
DD   x2 - 7(x2 + 7)x4 + 49 dx =
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DD  Evaluate: (tan 10x +cot 10x) dx  DD View Solution
c    dxsin 3x+sec  3x =
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c    sin-1x -cos-1xsin-1x +cos-1x dx =
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c   If (x2-4)dx(x4+9x2+16)Tan-1(x2+4x) = k ln |tan- 1 (x2+4x)| + C, then find the value of k.
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c   If dx2-7x-x2 = f (g(x)) + C, then choose f(x), g(x).
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c   Evaluate: cos 3x - sin 3x8-sin 6x dx
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c   Evaluate: x-1(x+1)x3+x2+xdx
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c   dxcos6 3x+sin6 3x =
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c   Evaluate: 1 -3x1 +3x dx   c View Solution
c    cos75x +cos55x sin25x+sin45x dx =   c View Solution
c   If sin 6(x - α)sin 6(x + α) dx= K [- cos 6α sin- 1(cos 6xcos 6α) - sin 6α ln | sin 6x + sin2 6x -sin2 6α|] + C, then find the value of K.
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c   Evaluate: I = cosx - sinx48 - sin2xdx   c View Solution
c   If (1 -12x1 +12x)12dxx = - 13ln(1 +1 - 12x12x) + Kcos-112x + C, then find K.
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c   Evaluate : 11x101+x22 dx   c View Solution
c   Evaluate : 1x2+14x+50dx
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c   Evaluate : e5x1+e10xdx   c View Solution
c   If 6x2 + 30(x2 + 1)(x2 + 25) dx = Ktan-1(mxc+x2) + A, then find the values of K, m, c, where A is a constant of integration.
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c   Evaluate: x2 - 3(x4 + 7x2 + 9)Tan-1(x2 + 3x)dx   c View Solution
c   Evaluate : esin- 1 9x1-81x2dx
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c   Evaluate: sin 18x tan-1 (sin 9x) dx   c View Solution