Definite Integration (p-1) - Maharashtra Board STD 12 Commerce / Arts Maths (commerce) Questions

Q 1MCQ1 Mark

$\int_{-7}^7 \frac{x^3}{x^2+7} d x=$

A
$7$
B
$49$
✓
$0$
D
$\frac{7}{2}$

Answer: C.

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Q 2MCQ1 Mark

$\int_a^b f(x) d x=$

A
$\int_b^a f(x) d x$
B
$-\int_a^b f(x) d x$
✓
$-\int_b^a f(x) d x$
D
$\int_0^a f(x) d x$

Answer: C.

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Q 3MCQ1 Mark

$\int_0^2 e^x dx =$

A
$e -1$
B
$1- e$
C
$1- e ^2$
✓
$e ^2-1$

Answer: D.

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Q 4MCQ1 Mark

$\int_2^3 x^4 dx =$

A
$\frac{1}{2}$
B
$\frac{5}{2}$
C
$\frac{5}{211}$
✓
$\frac{211}{5}$

Answer: D.

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Q 5MCQ1 Mark

If $\int_0^a 3 x^2 d x=8$, then $a =$

✓
$2$
B
$0$
C
$\frac{8}{3}$
D
$a$

Answer: A.

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Q 6Write true or false if statement is wrong write the true statement.1 Mark

$\int_4^7 \frac{(11-x)^2}{(11-x)^2+x^2} d x=\frac{3}{2}$

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Q 7Write true or false if statement is wrong write the true statement.1 Mark

$\int_2^7 \frac{\sqrt{x}}{\sqrt{x}+\sqrt{9-x}} d x=\frac{9}{2}$

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Q 8Write true or false if statement is wrong write the true statement.1 Mark

$\int_1^2 \frac{\sqrt{x}}{\sqrt{3-x}+\sqrt{x}} d x=\frac{1}{2}$

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Q 9Write true or false if statement is wrong write the true statement.1 Mark

$\int_{-5}^5 \frac{x^3}{x^2+7} d x=0$

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Q 10Write true or false if statement is wrong write the true statement.1 Mark

$\int_a^b f(x) d x=\int_a^b f(x-a-b) d x$

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Q 11Fil in The blanks.1 Mark

$\int_{-9}^9 \frac{x^3}{4-x^2} d x=$______

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Q 12Fil in The blanks.1 Mark

$\int_{-2}^3 \frac{d x}{x+5}=$______

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Q 13Fil in The blanks.1 Mark

$\int_2^3 \frac{x}{x^2-1} d x=$________

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Q 14Fil in The blanks.1 Mark

$\int_4^9 \frac{1}{\sqrt{x}} d x=$________

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Q 15Fil in The blanks.1 Mark

If $\int_0^a 3 x^2 d x=8$, then $a =$_________

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Q 16Solve the following Question.(1 Marks)1 Mark

$\int_{-2}^3 \frac{1}{x+5} d x$

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Q 17Solve the following Question.(1 Marks)1 Mark

$\int_4^9 \frac{1}{\sqrt{x}} d x$

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Q 18Solve the following Question.(1 Marks)1 Mark

$\int_0^1 \frac{1}{2 x-3} d x$

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Q 19Solve the following Question.(1 Marks)1 Mark

$
\int_{-4}^{-1} \frac{1}{x} d x
$

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Q 20Solve the following Question.(1 Marks)1 Mark

$\int_1^2 x^2 d x$

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Q 21Solve the Following Question.(2 Marks)2 Marks

$\int_2^3 \frac{x}{x^2-1} d x$

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Q 22Solve the Following Question.(2 Marks)2 Marks

$\int_1^3 x^2 \log x d x$

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Q 23Solve the Following Question.(2 Marks)2 Marks

$\int_0^9 \frac{1}{1+\sqrt{x}} d x$

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Q 24Solve the Following Question.(2 Marks)2 Marks

$\int_0^4 \frac{1}{\sqrt{x^2+2 x+3}} d x$

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Q 25Solve the Following Question.(2 Marks)2 Marks

$\int_2^3 \frac{x}{x^2+1} d x$

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Q 26Solve the Following Question.(3 Marks)3 Marks

$\int_0^1 \frac{x^2+3 x+2}{\sqrt{x}} d x$

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Q 27Solve the Following Question.(3 Marks)3 Marks

$\int_1^2 e^{2 x}\left(\frac{1}{x}-\frac{1}{2 x^2}\right) d x$

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Q 28Solve the Following Question.(3 Marks)3 Marks

$\int_0^1 e^{x^2} \cdot x^3 d x$

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Q 29Solve the Following Question.(3 Marks)3 Marks

$\int_1^2 \frac{d x}{x(1+\log x)^2}$

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Q 30Solve the Following Question.(3 Marks)3 Marks

$\int_2^4 \frac{x}{x^2+1} d x$

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Q 31Solve the Following Question.(4 Marks)4 Marks

$\int_0^1 \frac{1}{\sqrt{1+x}+\sqrt{x}} d x$

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Q 32Solve the Following Question.(4 Marks)4 Marks

Evaluate the following definite integrals : $\int_2^3 \frac{x}{(x+2)(x+3)} d x$

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Q 33Solve the Following Question.(5 Marks)5 Marks

$\int_1^2 \frac{x+3}{x(x+2)} d x$

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Q 34Solve the Following Question.(5 Marks)5 Marks

$\int_1^2 \frac{5 x^2}{x^2+4 x+3} d x$

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Q 35Solve the Following Question.(5 Marks)5 Marks

$\int_2^3 \frac{x}{(x+2)(x+3)} d x$

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Definite Integration (p-1) question types

Definite Integration (p-1) questions

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Definite Integration (p-1) Maths (commerce) - Definite Integration (p-1)

Definite Integration (p-1) question types

Definite Integration (p-1) questions

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