What will be the average value of y = cos3x with respect to x over [0, 2], if $\int\limits_0^2 {{{\cos }^3}xdx} $ is equal to 0.66?

• A) 1.32
• B) 1.05
• C) 1.5
• D) 0.33

For any constant number c,\[ \int_a^b {cf(x)} dx = \] which of the following is correct

• A) \[ \int_a^b {f(x)} dx + c \]
• B) \[ c\int_a^b {f(x)} dx \]
• C)
• D)

The value of \int\limits_0^1 {\frac{{dx}}{{1 + {x^2}}}} \,\_\_\_\_\_.

• A) \frac{\pi }{2}
• B) \infty
• C) \frac{\pi }{4}
• D) 0

The value of\[\int\limits_{ - 2}^2 {|x|\,dx} \,\_\_\_\_\_\_.\]

• A) None of the above
• B) 4
• C) 0
• D) 2

The value of $\int\limits_0^x {{t^3}dt = \_\_\_\_\_\_.} $

• A) $\frac{{{t^4}}}{4}$
• B) $\frac{{{x^4}}}{4}$
• C) None of the above
• D) $\frac{{{t^4}}}{4} - 1$

The value of the $\int\limits_0^1 {{t^3}dt = \_\_\_\_\_\_\_.} $

• A) 2/3
• B) 1/4
• C) 1/3
• D) 4/3

Which of the following statements is true about $\int\limits_0^1 {(\sin x\cos x)dx} $?

• A) \[\int\limits_0^1 {(\sin x\cos x)dx} = 2\int\limits_0^1 {\sin xdx} \times 2\int\limits_0^1 {\cos xdx} \]
• B) \[\int\limits_0^1 {(\sin x\cos x)dx} = \int\limits_0^1 {\sin xdx} + \int\limits_0^1 {\cos xdx} \]
• C) \[\int\limits_0^1 {(\sin x\cos x)dx} = \frac{1}{2}\int\limits_0^1 {\sin 2xdx} \]
• D) \[\int\limits_0^1 {(\sin x\cos x)dx} = \int\limits_0^1 {\sin xdx} - \int\limits_0^1 {\cos xdx} \]

\[ \begin{gathered} If\;\;f(x) \geqslant g(x)\;for\;any\;two\;number\;such\;that\;,a \leqslant x \leqslant b,\;we\;have, \ \int_a^b {f(x)} dx \\ \end{gathered} \]

• A) \[ = \int_a^b {g(x)} dx \]
• B) none of these
• C) \[ \geqslant \int_a^b {g(x)} dx \]
• D) \[ \leqslant \int_a^b {g(x)} dx \]

\[ Evaluate\;\frac{d} {{dx}}\int_1^x {t^2 } dt = \]

• A) \[ x^2 \]
• B) \[ - x^2 \]
• C) \[ 3x^2 \]
• D) none of these

\[ If\;f\;continuous\;on\;[a,b]\;and\;F(x) = \int_a^x {f(t)dt} ,\;then\; \]

• A) none of these
• B) \[ F^/ (x) = f(x)\;on\;\;[a,b] \]
• C) \[ F^/ (t) = f(x)\;on\;\;[a,b] \]
• D) \[ F^/ (x) = f(t)\;on\;\;[a,b] \]

\[ {\text{Which of the following is true for the definite integral }}\int_a^b {f(x)} dx = \]

• A) \[ \int_a^a {f(x)} dx \]
• B) \[ - \int_b^a {f(x)} dx \]
• C) \[ - \int_a^b {f(x)} dx \]
• D) \[ \int_b^a {f(x)} dx \]

If the function and limits of definite integral are the same and variable of integration are changed, i.e \[ \int_a^b {f(x)} dx = \int_a^b {f(t)} dt \] Then the answer would be

• A) changed
• B) do not changed
• C)
• D)

What will be the value of $\int\limits_0^2 {(\sin x + 3)dx} $ if $\int\limits_0^2 {(10\sin x + 30)dx = 74} $ ?

• A) 3.6
• B) 5.4
• C) 7.4
• D) 4.2

The expressions ${{x}^{2}}+x,{{x}^{2}}+x+5,{{x}^{2}}+x-3$ have the same .......

• A) Anti-derivative
• B) Derivative
• C)
• D)

What will be the value of $\int\limits_0^1 {{e^x}dx} $ ?

• A) 1
• B) ex
• C) e
• D) ec+1

For the adjacent intervals, [a,c] and [c,b],where c is any number,

• A) None of these
• B)
• C)
• D)

The value of

• A) 4
• B) 2
• C) None of the above
• D) 0

If Then the solution of will be....

• A) -3/14
• B) none of these
• C) 14/3
• D) -14/3

We can break up definite integrals across a sum or difference as

• A) None of these
• B)
• C)
• D)

data:image/png;base64,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

• A) The area between the curves increases after the shift.
• B) data:image/png;base64,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
• C) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQsAAAAWCAYAAADXarmjAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAXASURBVHhe7ZgBUSw7EEWxgAYs4AEJaMACDnCAAxSgAAMYwAEe5tfZ4lL33erMZN7fXXjQpyq1m07SfdPJ9CxcLE3TNBN0sWiaZoouFk3TTNHFommaKbpYNE0zxWexuLm5WS4uLsr28PBwmMP3l5eXw/dzgCbFHvH4+Li8vr5+9Jbl6elpuby8PGg9FmhAy2/g3Gf8/Px8aF/J/f39Yd+zZ0x+jnm//hU+d8wDRxJo19fXy93d3Wf/7e3tMOe7FQt0URgoGOLq6upw+A5+vKDs5acWiyov5z5j7trt7e1H7/xwh9jzWsHKPJGfX10snNFD+t2KRUWl8f/q/spiQeGjIJ6CU+Tq2PBLkRfAqTThlz2vkTmZWfMT2V0sqMC8CfhOy7c4FZi3BWNccn6hvL+/f4z+CXb3lRVcOvTAaI77w8bh6QC9jWwVxFEMLqe/aVQsdHE1J9/KzNM4vjI32Lfy5zr4zJx4LshzvhF9PPch1vLC9684Y0FszyFN2qQ743MuI5hLDMVHi7QSV3Ya85xRnmZ17M0T48xjPjlwfx6TMeUs88t35jhb93KW3cVCm0AkP/+1Acg/C+iTLJJQgZ1YSiB9/AvG8IcWfJEw9w/Exy6yD5XN0QOmOdoXMYH4jOsgtC/6gpy4D+bR9wPH51r+sDOufPDg4EN9dBJXulKnNHjfxxPGqlyd+4x11/BVxZJGPhlnDbnBJ/6YU6H15I259JmPXiGfazDueZrRodh78uRnm2eXMWWXTzRIh+dXd0L6q3s5y1/9snCwKTBrWOusHQYPG41NAgnwuPjKKojNE45vP8jsQ2VzquRxCNLCp18wwJaHUmn1/aBjb/5ce7UPj8HFRJMuEjDmfafy9zca8cGcipkzVr/yU43LF8hW7VH5cFjLfO1xTbtgnHliRsfePHF38g563LWYia+buZezlMpHzlyEwKa5XAr6VaugynGYjBOTw/VkVDqw0QRrXVP2obIJNKyNQ3Xw2Fjn4AM7eWA+Rcj1j7RpDgfrDzsXGh/kRDqrpvXMIy42ihuXZFQogHkzufIYpzxjtDJP8en7W5HPjCNbagadQ4Iexax8Jul/RsfePAHnjy406xzlr4pJLt2vN60DvuN3dC9nKZX7ATopArBp7uhwtsAnF5tD9Dd4pQObx0hNI41pE8cqFujnEDhAfHHRU/9Im+bwEOGDhp186A04o1MwFx3kEl+jgjHSs6bx1GdMX/vn08fwgd2RLTXDSCvx5bfymaT/GR1784QmGgUDH9wF91fFVLFYY+ZezlJGGjlz8QKb5iKIy+BwcUdJw864yDdLpQOb+0tNI41pcxjPn4Aem0+PCdhYJ/Jig19KGGnzOKO/aYEYqZPLIJt/F/4WTUZ61jSe8oyxkTP/5eEwzlpHttQMlVY9hMf4M8RJHXvyhD1jzBQLrcuXged85l7OUmbJD9DJDQE2zUU04vwfLmsVljGaLgcX3Tdf6cDm/lJTpZFDW3sIVX21joN2P2jIPWBjjuAA2AuwH+Ix7vorbT6HC0zfG3F18KmTT+a4bvaq/LGuKjCiyov7E9ik8ZRnLN+Mq+ltC9qvkzlw5I+8EZ8+uvEpKp9J5mlGx548McZazg9Yi0b3N9LJPBprgFwSV/lmbOteyscWZZb8AB0XLzIwF5T12Gl+URIlUHMRrIoPlQ5snnDWuabsA5dNlzDHhJLMHC6H62DMYwI25gr2zTpfn/qr+Ng0h0utHDAP3fTRJVJnFgIVFI17/KTKy5ZGONUZY0cPutBAX2uJiY3vjmypWWxprXwmmadZHXvy5DFYw1r3V8UE/KkA0MgvawXft+4la2hbrGepOStcFr9sMLokPxEepqq4sf/MS3N+ulh8I6j4+tkKemtg/w1QKHjD6Sc18NOcIjp6Izfno4vFN4KHxH+y85B48fjpsE//M4pGPvxndfN1dLFommaKLhZN00zRxaJpmgmW5T9taOJlwI7zpgAAAABJRU5ErkJggg==
• D) data:image/png;base64,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