CSIT Anti Derivative Questions

Anti Derivative

23. $\int_{0}^{1} \frac{2 x}{1 + x^{2}} d x$ [2075]

log2

24. $\int \frac{d x}{x (1 + l n x)^{2}} =$ [2075]

$- \frac{1}{1 + l n x} + c$

$\frac{1}{1 + l n x} + c$

$\frac{1}{l n x} + c$

$\frac{1}{x (1 + l n x)} + c$

24. $\int \frac{d x}{s i n^{2} x} =$ [2074]

a + x + c

-a + x + c

tanx + c

25. $\int_{0}^{1} \frac{d x}{1 + x^{2}} =$ [2074]

π / 4

π / 2

tanx + c

22. $\int \frac{d x}{1 - x^{2}} =$ [2073]

cos^-1x + c

$\frac{1}{2} l n | \frac{1 - x}{1 + x} | + c$

sin^-1x + c

$\frac{1}{2} l n | \frac{1 + x}{1 - x} |$

23. $\int_{1}^{2} \frac{s i n (l n t)}{1} d t =$ = [2073]

1-cos(ln2)

cos2

cos(ln2)

1+cos(ln2)

25. The area bounded by the a-axis and the curve y = x³ and ordinates of x - 2 and x - 4 is [2073]

60 sq units

256 sq units

240 sq units

272 sq. units

23. $\int_{0}^{1} \frac{2 x d x}{\sqrt{1 - x^{2}}}$ [2072]

1/2

24. $\int x s i n x d x =$ [2072]

Sinx - xCosx + C

Sinx + xCosx + C

Cosx + xSinx + C

-Sinx + xCosx + C

25. Area bounded by the x-axis and the curve y = 3x² and the ordinate of x = 2 and x = 4 is [2072]

24. $\int \frac{d x}{1 - c o s x}$ = [2071]

tan x/2

-cot x/2

cos x/2

-tan x/2

25. $\int_{0}^{\frac{1}{2}} \frac{c o s x}{1 + s i n x} d x$ [2071]

∞

ln|2|

25. Which one of the following is the area enclosed by curve y = 3x, the x-axis and the ordinate x = 0, x = 4? [2070]

9. The integral $\int \frac{d x}{(e^{x} - e^{- x})^{2}}$ is equal to [2070]

$\frac{- 1}{2 | e^{2} + 1 |} + c$

$\frac{- 1}{| e^{2 x} + 1 |} + c$

$\frac{- 1}{2 | e^{x} + e^{- x} |} + c$

$\frac{- 1}{2 | e^{2 x} + 1 |} + c$

csitfamily

Course Content

Colleges

Triton International College

Triton International College

Anti Derivative