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Recent questions tagged ch7
Questions
Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{4}\frac{\sin x+\cos x}{9+16\sin 2x}\;dx\]
cbse
class12
bookproblem
ch7
misc
q30
p353
sec-b
difficult
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{2}\sin 2x\tan^{-1}(sin x)\;dx\]
cbse
class12
bookproblem
ch7
misc
q31
p353
sec-b
difficult
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals $\int\limits_0^{\pi}\large\frac{x\tan x}{\sec x+\tan x}$$\;dx$
cbse
class12
bookproblem
ch7
misc
q32
p353
sec-b
difficult
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals: $\int\limits_1^4 [\; |x-1|+|x-2|+|x-3|\;]dx$
cbse
class12
bookproblem
ch7
misc
q33
p353
sec-b
difficult
modelpaper
2012
q25
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Prove the following\[\int\limits_1^3\frac{dx}{x^2(x+1)}=\frac{2}{3}+log\frac{2}{3}\]
cbse
class12
bookproblem
ch7
misc
q34
p353
sec-b
difficult
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Prove the following\[\int\limits_0^1x\;e^x\;dx=1\]
cbse
class12
bookproblem
ch7
misc
q35
p353
sec-b
easy
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Prove the following\[\int\limits_{-1}^1x^{17}\cos^4x\;dx=0\]
cbse
class12
bookproblem
ch7
misc
q36
p353
sec-a
easy
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Prove the following\[\int\limits_0^\frac{\pi}{2}\sin^3x\;dx=\frac{2}{3}\]
cbse
class12
bookproblem
ch7
misc
q37
p353
sec-b
easy
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Prove the following\[\int\limits_0^\frac{\pi}{4}2\tan^3x\;dx=1-log2\]
cbse
class12
bookproblem
ch7
misc
q38
p353
sec-b
medium
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Prove the following\[\int\limits_0^1\sin^{-1}x\;dx=\frac{\pi}{2}-1\]
cbse
class12
bookproblem
ch7
misc
q39
p353
sec-b
medium
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Evaluate $ \large \int\limits_0^1e^{2-3x}\;$$dx\;$ as a limit of a sum
cbse
class12
bookproblem
ch7
misc
q40
p353
sec-c
difficult
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Choose the correct answers in $\int\frac{dx}{e^x+e^{-x}}$ is equal to
cbse
class12
bookproblem
ch7
misc
q41
p353
sec-a
easy
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Choose the correct answers in $\int\frac{\large \cos 2x}{\large (\sin x+\cos x)^2}dx$ is equal to
cbse
class12
bookproblem
ch7
misc
q42
p353
sec-a
easy
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Choose the correct answers if $f(a+b-x) = f(x)$ , then $\int\limits_a^bx\;f(x)dx$ is equal to
cbse
class12
bookproblem
ch7
misc
q43
p354
sec-a
medium
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Choose the correct answers in the value of $\int\limits_0^1\tan^{-1}\bigg(\frac{\large 2x-1}{\large 1+x-x^2}\bigg)dx\;is$\[(A)\;1\qquad(B)\;0\qquad(C)\;-1\qquad(D)\;\frac{\pi}{4}\]
cbse
class12
bookproblem
ch7
misc
q44
p354
sec-a
medium
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Integrate the function\[\frac{1}{x^\frac{1}{2}+x^\frac{1}{3}}\qquad[Hint:\frac{1}{x^\frac{1}{2}+x^\frac{1}{3}}=\frac{1}{x^\frac{1}{3}\bigg(1+x^\frac{1}{6}\bigg)},put\;x=t^6]\]
cbse
class12
bookproblem
ch7
misc
q5
p352
sec-b
difficult
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\frac{1}{x^2(x^4+1)^\frac{3}{4}}\]
cbse
class12
bookproblem
ch7
misc
q4
p352
sec-b
medium
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Integrate the function\[\frac{1}{x\sqrt{ax-x^2}}[Hint:Put\;x=\frac{a}{t}]\]
cbse
class12
bookproblem
ch7
misc
q3
p352
sec-b
medium
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Integrate the function\[\frac{1}{\sqrt{x+a}+\sqrt{x+b}}\]
cbse
class12
bookproblem
ch7
misc
q2
p352
sec-b
medium
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\frac{1}{x-x^3}\]
cbse
class12
bookproblem
ch7
misc
q1
p352
sec-b
difficult
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
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