What is ∫elntanx = ? from Mathematics In

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

11.

What is 01x1 - x9dx = ?

  • 1110

  • 1132

  • 1148

  • 1240


12.

What is 28x - 5dx = ?

  • 2

  • 3

  • 4

  • 9


13.

What is sin3xcosxdx = ?

  • cos4x + c

  • sin4x + c

  • 1 - sin2x24 + c

  • 1 - cos2x24 + c


Advertisement

14.

What is elntanx = ?

  • lntanx + c

  • lnsecx

  • tanx + c

  • etanx + c


B.

lnsecx

elntanx = tanxdx= lnsecx + c


Advertisement
Advertisement
15.

What is  - 11ddxtan-11xdx = ?

  • 0

  • - π4

  •  - π2

  • π2


16.

What is dxa2sin2x + b2cos2x = ?

  • c + 1abtan-1atanxb

  • c - 1abtan-1btanxa

  • c + 1abtan-1btanxa

  • None of the above


17.

What is dxxx7 = 1 = ?

  • 12lnx7 - 1x7 +1 + c

  • 17lnx2 +1x7 + c

  • lnx2 - 17x + c

  • 17lnx7x7 + 1 + c


18.

What is xe - 1 + ex - 1xe + exdx =?

  • x22 + c

  • lnx + e +c

  • lnxe + ex + c

  • 1elnxe + ex + c


Advertisement
19.

If xdy = y(dx + ydy); y(1) = 1 and y(x) > 0, then what is y( - 3) equal to ?

  • 3

  • 2

  • 1

  • 0


20.

If f(x) and g(x) are continuous functions satisfying f(x) = f(a - x) and g(a) + g(a - x) = 2, then what is

0af(x)g(x)dx equal to ?

  • 0agxdx

  • 0afxdx

  • 2 0afxdx

  • 0


Advertisement