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Recent questions tagged integral-calculus
Questions
Integrate : $\int e^x \bigg( \sin ^{-1} x +\large\frac{1}{\sqrt {1-x^2}}\bigg) dx $
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q197
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate: $\int -cosec ^2 (\log x ) + \cot (\log x) dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q196
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int e^x. \bigg[\large\frac{1- \sin x}{1- \cos x }\bigg].$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q195
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int x.2^x dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q194
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{1+\tan ^2 x }{1+\tan x }$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q193
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{5}{8}.x.e{^{\Large x^2}}. \sec (e^{\Large x^2}).\tan (e^{x^2})dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q192
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \sqrt {1+\sin x }dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q191
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{\sin ^{-1} x }{(1-x^2)^{3/2}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q190
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{\sin x +\cos x }{\sqrt {\sin 2x}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q189
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{\cos 2 x}{\sin ^2 x \cos ^2 x }$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q188
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{1- x \sin x +\cos x }{x(1- \cos x )}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q187
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{\sec x cosec x}{\log (\tan x )}$$dx$
jeemain
math
class12
ch7
integral-calculus
easy
integration-by-subsitution
q186
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \sqrt {\large\frac{1-x}{1+x}}.\frac{1}{x}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q185
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \sqrt {\tan \theta} . d \theta $
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q184
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate $ \int \limits _0^1 \tan ^{-1}(x^2+1-x)dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q183
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \limits_0^{\pi/2} \bigg( \large\frac{\theta}{ \sin \theta }\bigg)^2.$$ d \theta $
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q182
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \sqrt{\large\frac{x}{1+x}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q181
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate : $\int \sqrt {x^2+1} \log \large\frac{(x^2+1)-2 \log x }{x^4}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q180
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \sqrt {e^x-1} dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q179
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate: $ \int \sqrt {\large\frac{x}{a^3-x^3}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q178
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{x^2}{(x \sin x + \cos x)^2}$$dx$
jeemain
math
class12
unit9
integral-calculus
difficult
q177
asked
Dec 24, 2013
by
meena.p
0
answers
Integrate : $\int e^x \bigg(\large\frac{2+\sin 2x}{1+ \cos 2x}\bigg)$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q176
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $ \int e^x [\cot x + \log \sin x]dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q175
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \cos (\log x)dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q174
asked
Dec 24, 2013
by
meena.p
1
answer
$\int x \sin x \cos x dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q173
asked
Dec 24, 2013
by
meena.p
1
answer
Intergate : $\int \sqrt {\large\frac{x+a}{x}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q172
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{\sec^4 x }{\sqrt {\tan x}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q171
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{1}{x+\sqrt x}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q170
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int e^x (ae^x+b)^n dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q169
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{6}{7} . \frac {e^{\sqrt x}. \cos (e^{\sqrt x})}{\sqrt x }$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q168
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \log \large\frac{[x +\sqrt {1+x^2}]}{\sqrt {1-x^2}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q167
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{4}{9} $$.x^{3/2}. \sin (x)^{5/2}dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q166
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $ \int \sqrt {1+ \sin 4x}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q165
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{1}{\sin (x-a) \cos (x-b)} $$ dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q164
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \tan x \tan 2x \tan 3x dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q163
asked
Dec 24, 2013
by
meena.p
1
answer
Intergate : $\int \large\frac{5}{7} $$ \sqrt {\cos (7x)}. \sin 7x dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q162
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{ax^{a-1}+a^x \log a}{x^a+a^x}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q161
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{7}{9} \times \frac{e^{\Large \tan ^{-1}(x^4)}}{(1+x^8)} $$\times x^3 dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q160
asked
Dec 24, 2013
by
meena.p
1
answer
integrate : $\int (x^3-1)^{\large\frac{1}{3}}.x^5$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q159
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \cos^3 x \sin ^2 x dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q158
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{7}{9} x^{3/2} \tan ^5 (x^{5/2}) \sec^2 (x^{5/2}).dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q157
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :$\int \large\frac{e^{\Large \log (\sin x)}}{\cos x}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q156
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int 5x^2 \tan ^2 (6x^3) dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q155
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{1}{\sqrt {2x-3}- \sqrt {2x+1}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q154
asked
Dec 24, 2013
by
meena.p
1
answer
$f'(x) = a cos x + b \sin x ; f'(0)=4; f(0)=3; f \bigg(\large\frac{\pi}{2}\bigg)$$=5$ find the value of $f(x)=$?
jeemain
math
class12
ch7
integral-calculus
fundamental-theorem-of-calculus
easy
q153
asked
Dec 24, 2013
by
meena.p
1
answer
If $f'(x) =2x -3x^2$ and $f(0)=4; $ find $f(x)$=?
jeemain
math
class12
unit9
integral-calculus
easy
q152
asked
Dec 23, 2013
by
meena.p
0
answers
Integrate : $ \int \sqrt {x} (6x^4 +2(x) ^{3/2} +\large\frac{8}{\sqrt x } ) $$dx$
jeemain
math
class12
ch7
integral-calculus
integrals-as-an-anti-derivative
easy
q151
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{ 6 \cos (\log (3x)+1)}{7x} $$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q150
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate : $ \int \sqrt {2x^2-5x +6 } $$dx$
jeemain
math
class12
ch7
integral-calculus
integrals-as-an-anti-derivative
easy
q149
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate : $\int\large\frac{\log _e \tan ^{-1} (3x)}{4 (1+gx^2)}$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q148
asked
Dec 23, 2013
by
meena.p
1
answer
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