Evaluate the following integrals : int...

Evaluate the following integrals :
`int_0^1 |3x-1|dx`

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Verified by Experts

The correct Answer is:

`3/8 {log |4x^(2)-4x+17|+1/16 tan^(-1)((2x-1)/(4))+C}`

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ARIHANT MATHS-INDEFINITE INTEGRAL -Exercise For Session 3

Solve the following equation : (15x)/(x - 11) = 4
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int (1)/(4e^x+9e^(-x))dx=....
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Evaluate the following integrals int (2^(x))/(sqrt(4^(x)-25))dx
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Solve : x/4 + 3/2 = -5/2
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Evaluate: int(x+2)/(sqrt(x^2+2x+3))
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Solve the following equation : (x - 8)/5 = (x - 12)/9
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Evaluate the following integrals : int0^1 |3x-1|dx
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Solve : (x + 1)/x - x/(x + 1) = 3/2
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Evaluate the following integrals int sqrt((a-x)/(x-b))dx
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Evaluate the following integrals int sqrt((1-x)/(1+x))dx
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Solve for x : (x + 2)/(4 + x) = 5/9
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Solve : 1/(x - 2) + 2/(x - 1) = 6/x
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Evaluate: int1/(sinx+sqrt(3)cosx)\ dx
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Evaluate the following integrals int (cos^(2)x sin x)/(sin x - co...
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Evaluae int(e^(x))/(sqrt(5-4e^(x)-e^(2x)))dx
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Evaluate the following integrals int sqrt((cos x- cos^(3)x)/((1-c...
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Evaluate int((3 sin x+ 4 cos x)/(4 sin x-3 cos x))dx
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Solve : x/3 + 2 = 7/(15)
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Evaluate int(2x^(2)+5x+9)/((x+1)sqrt(x^(2)+x+1))dx.
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int (dx)/(sec x + "cosec x")
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