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Evaluate int(e^(x)(1+x))/(cos^(2)(xe^(x)...

Evaluate `int(e^(x)(1+x))/(cos^(2)(xe^(x)))dx`

A

`-cot(ex^(x))+c`

B

`tan(e^(x).x)=c`

C

`tan(e^(x))+c`

D

`cot(e^(x))+c`

Text Solution

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The correct Answer is:
B
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SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
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  2. If A is matrix of order m xx n and B is a matrix such that AB' and B'A...

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  3. Evaluate int(e^(x)(1+x))/(cos^(2)(xe^(x)))dx

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  4. IF x yz are not equal to ne 0, ne 1 the value of |{:(logx,,logy,,logz)...

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  5. The function f(x)= [x], where [x] denotes greatest integer function is...

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  6. The value of int(e^(x)((1+x^(2))tan^(-1)x+1))/(x^(2)+1)dx is equal to

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  7. If 2veca*vecb = |veca| * |vecb| then the angle between veca & vecb is

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  8. If x^(m)y^(n)=(x+y)^(m+n), then (dy)/(dx)=

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  9. The general solution of cot theta + tan theta = 2 is

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  10. The value of int(-pi//4)^(pi//4) sin^(103) x*cos^(101) xdx is

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  11. The length of latus rectum of parabola 4y^(2)+3x+3y+1=0 is

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  12. The value of int(e^(6logx)-e^(5logx))/(e^(4logx)-e^(3logx))dx is equal...

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  13. The differential coefficient of log(10)x with respect to log(x)10 is

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  14. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

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  15. The real part of (1-costheta + I sin theta)^(-1) is

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  16. int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to

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  17. If 1+sin x+sin^(2)x+…………… upto oo=4+2sqrt(3),0ltxltpi and x!=(pi)/2, t...

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  18. underset(xrarr0)lim(xe^(x)-sinx)/(x) is equal to

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  19. If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to

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  20. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

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