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Recent questions tagged sec-b
Questions
Integrate the function\[\int\frac{1}{\cos(x+a)\cos(x+b)}\]
cbse
class12
bookproblem
ch7
misc
q11
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{e^x}{(1+e^x)(2+e^x)}$
cbse
class12
bookproblem
ch7
misc
q13
p352
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\frac{1}{(x^2+1)(x^2+4)}\]
cbse
class12
bookproblem
ch7
misc
q14
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int f'(ax+b)[f(ax+b)]^n\]
cbse
class12
bookproblem
ch7
misc
q17
p352
sec-b
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\large\frac{1}{\sqrt{\sin^3x\sin(x+\alpha)}}$
cbse
class12
bookproblem
ch7
misc
q18
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{\sin^{-1}\sqrt x-\cos^{-1}\sqrt x}{\sin^{-1}\sqrt x+\cos^{-1}\sqrt x},$$x\;\in\;[0,1]$
cbse
class12
bookproblem
ch7
misc
q19
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\sqrt{\frac{1-\sqrt x}{1+\sqrt x}}\]
cbse
class12
bookproblem
ch7
misc
q20
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{2+\sin2x}{1+\cos2x}$$e^x$
cbse
class12
bookproblem
ch7
misc
q21
p352
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{x^2+x+1}{(x+1)^2(x+2)}$
cbse
class12
bookproblem
ch7
misc
q22
p352
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\tan^{-1}\sqrt{\frac{1-x}{1+x}}\]
cbse
class12
bookproblem
ch7
misc
q23
p353
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\frac{\sqrt{x^2+1}[log(x^2+1)-2logx]}{x^4}\]
cbse
class12
bookproblem
ch7
misc
q24
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_\frac{\pi}{2}^\pi e^x\bigg(\frac{1-\sin x}{1-\cos x}\bigg)dx\]
cbse
class12
bookproblem
ch7
misc
q25
p353
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{4}\frac{\sin x\cos x}{\cos^4x+\sin^4x}dx\]
cbse
class12
bookproblem
ch7
misc
q26
p353
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{2}\frac{\cos^2xdx}{\cos^2x+4\sin^2x}\]
cbse
class12
bookproblem
ch7
misc
q27
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_\frac{\pi}{6}^\frac{\pi}{3}\frac{\sin x+\cos x}{\sqrt{\sin2x}}dx\]
cbse
class12
bookproblem
ch7
misc
q28
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_0^1\frac{dx}{\sqrt{1+x}-\sqrt x}\]
cbse
class12
bookproblem
ch7
misc
q29
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
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\[\int\limits_0^\frac{\pi}{2}\sin^3x\;dx=\frac{2}{3}\]
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
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
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b $\large\frac{x}{a}+\frac{y}{b}=1$
cbse
class12
bookproblem
ch9
sec3
q1
p391
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.$y^2=a(b^2-x^2)$
cbse
class12
bookproblem
ch9
sec3
q2
p391
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b. $y=a\: e^{3x}+b\: e^{-2x}$
cbse
class12
bookproblem
ch9
sec3
q3
p391
medium
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b $y=e^{2x}(a+bx)$
cbse
class12
bookproblem
ch9
sec3
q4
p391
medium
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b $y=e^x(a\;\cos x+b\;\sin x)$
cbse
class12
bookproblem
ch9
sec3
q5
p391
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form the differential equation of the family of circles touching the \(y\) - axis at origin.
cbse
class12
bookproblem
ch9
sec3
q6
p391
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form the differential equation of the family of parabolas having vertex at origin at axis along positive y-axis.
cbse
class12
bookproblem
ch9
sec3
q7
p391
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form the differential equation of the family of ellipses having foci on $y$-axis and centre at origin.
cbse
class12
bookproblem
ch9
sec3
q8
p391
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form the differential equation of the family of hyperbolas having foci on $x$-axis and centre at origin.
cbse
class12
bookproblem
ch9
sec3
q9
p391
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form the differential equation of the family of circles having centre on $y$-axis and radius $3$ units.
cbse
class12
bookproblem
ch9
sec3
q10
p391
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
2
answers
Find the general solution $\large\frac{dy}{dx} $$=\sqrt {4-y^2} \; (-2\lt y \lt 2) $
cbse
class12
bookproblem
ch9
sec4
q2
p395
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the general solution $\large\frac{dy}{dx}$$+y=1(y\neq1)$
cbse
class12
bookproblem
ch9
sec4
q3
p396
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the general solution $\sec^2x\;\tan y\;dx+\sec^2y\;\tan x\;dy=0$
cbse
class12
bookproblem
ch9
sec4
q4
p396
medium
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the general solution $(e^x+e^{-x})\;dy-(e^x-e^{-x})\;dx=0$
cbse
class12
bookproblem
ch9
sec4
q5
p396
medium
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the general solution $\large\frac{dy}{dx}$$=(1+x^2)(1+y^2)$
cbse
class12
bookproblem
ch9
sec4
q6
p396
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the general solution $y\;\log\: y\;dx-x\;dy=0$
cbse
class12
bookproblem
ch9
sec4
q7
p396
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the general solution $x^5\large\frac{dy}{dx}$$=-y^5$
cbse
class12
bookproblem
ch9
sec4
q8
p396
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the general solution $\large\frac{dy}{dx}=$$\sin^{-1}x$
cbse
class12
bookproblem
ch9
sec4
q9
p396
medium
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the general solution $e^x\tan y\;dx+(1-e^x)\sec ^2y\;dy=0$
cbse
class12
bookproblem
ch9
sec4
q10
p396
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find a particular solution satisfying the given condition $(x^3+x^2+x+1)\large\frac{dy}{dx}$$=2x^2+x;y=1\;when\;x=0$
cbse
class12
bookproblem
ch9
sec4
q11
p396
medium
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
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