7.2 definite integral - Gujarat Board (GSEB) STD 12 Science Maths Questions - Vidyadip

Question types

7.2 definite integral question types

923 questions across 1 question group — pick any mix to generate a Maths paper with step-by-step answer keys.

923

Questions

1

Question groups

5

Question types

M.C.Q (1 Marks)

Sample Questions

7.2 definite integral questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

$\int_0^{\pi /2} {\frac{{x + \sin x}}{{1 + \cos x}}\,dx = } $

A
$ - \log 2$
B
$\log 2$
✓
$\frac{\pi }{2}$
D
$0$

Answer: C.

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Q 2M.C.Q (1 Marks)1 Mark

$\int_0^{\pi /2} {{e^x}\sin x\,dx = } $

A
$\frac{1}{2}({e^{\pi /2}} - 1)$
✓
$\frac{1}{2}({e^{\pi /2}} + 1)$
C
$\frac{1}{2}(1 - {e^{\pi /2}})$
D
$2({e^{\pi /2}} + 1)$

Answer: B.

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Q 3M.C.Q (1 Marks)1 Mark

$\int_1^e {\frac{{{e^x}}}{x}(1 + x\log x)\,dx} = $

✓
${e^e}$
B
${e^e} - e$
C
${e^e} + e$
D
None of these

Answer: A.

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Q 4M.C.Q (1 Marks)1 Mark

The value of $\int_{ - 2}^2 {(a{x^3} + bx + c)} $ depends on

A
The value of $a$
B
The value of $b$
✓
The value of $c$
D
The values of $a$ and $b$

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark

$\int_0^{2\pi } {\sqrt {1 + \sin \frac{x}{2}} \,dx = } $

A
$0$
B
$2$
✓
$8$
D
$4$

Answer: C.

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