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प्रश्न
`int (5(x^6 + 1))/(x^2 + 1) "d"x` = x5 – ______ x3 + 5x + c
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उत्तर
`5/3`
संबंधित प्रश्न
Integrate the rational function:
`(2x)/(x^2 + 3x + 2)`
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`(1 - x^2)/(x(1-2x))`
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`x/((x -1)^2 (x+ 2))`
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`(2x - 3)/((x^2 -1)(2x + 3))`
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`(x^3 + x + 1)/(x^2 -1)`
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`1/(x(x^n + 1))` [Hint: multiply numerator and denominator by xn − 1 and put xn = t]
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Integrate the following w.r.t.x : `sqrt(tanx)/(sinx*cosx)`
`int "dx"/(("x" - 8)("x" + 7))`=
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`int sec^2x sqrt(tan^2x + tanx - 7) "d"x`
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`int xcos^3x "d"x`
Choose the correct alternative:
`int (x + 2)/(2x^2 + 6x + 5) "d"x = "p"int (4x + 6)/(2x^2 + 6x + 5) "d"x + 1/2 int 1/(2x^2 + 6x + 5)"d"x`, then p = ?
`int 1/x^3 [log x^x]^2 "d"x` = p(log x)3 + c Then p = ______
Evaluate the following:
`int "e"^(-3x) cos^3x "d"x`
Evaluate: `int (dx)/(2 + cos x - sin x)`
`int 1/(x^2 + 1)^2 dx` = ______.
If `int dx/sqrt(16 - 9x^2)` = A sin–1 (Bx) + C then A + B = ______.
Evaluate`int(5x^2-6x+3)/(2x-3)dx`
Evaluate:
`int (x + 7)/(x^2 + 4x + 7)dx`
