Recent questions tagged integral-calculus

Integrate: $\int \limits_{-2}^{2} axb +bx^3+(cx+d)$, at which coefficient its value depend

asked Dec 16, 2013 by meena.p

1 answer

Integrate: $\int \limits_0^{2 \pi} \sqrt {1-\sin \large\frac{x}{2} } dx$

asked Dec 16, 2013 by meena.p

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Integrate: $\int \limits_{-1}^1 x |x| dx.$

asked Dec 16, 2013 by meena.p

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$\int \limits_0^1 |\sin 2zx| dx$

asked Dec 16, 2013 by meena.p

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$\int \limits_0^1 e^{x^2}. (x- \alpha) dx $. then , $\alpha =? $

asked Dec 16, 2013 by meena.p

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Integrate : $I= \int \limits_1^3 \sqrt {3+x^3}.dx$

asked Dec 16, 2013 by meena.p

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Integrate $I= \int \limits_0^1 e^{x^2} dx$

asked Dec 16, 2013 by meena.p

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$I_1 = \int \limits _1^2 |x| dx ; I_2=\int \limits_1^2 \large\frac{1}{\sqrt {1+x^2}}$$ dx $

asked Dec 16, 2013 by meena.p

1 answer

$f(x^2) =x^3 (2+x^2),$$ f(x^2)= \int \limits_0^{x^3} f(t) dt,$ find $f(8)=?$

asked Dec 16, 2013 by meena.p

1 answer

$\int \limits_0^{x^2} t.f(t).dt =\large\frac{2}{5}.$$x^3$ then find $f\bigg(\large\frac{4}{25}\bigg)$

asked Dec 14, 2013 by meena.p

1 answer

$\large\frac{d}{dx} \int \limits_{x^2}^{x^3} \bigg(\large\frac {1}{lnt} \bigg)$$dx$

asked Dec 14, 2013 by meena.p

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$g(t) =\int \limits_o^t \sin ^6 x .dx$ find $g(\pi+t)$

asked Dec 14, 2013 by meena.p

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Integrate : $ \int \limits _0^{n \pi +v} |\cos x | dx $

asked Dec 14, 2013 by meena.p

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Integrate : $\int \limits_0^{\large\frac{\pi}{2}}$$ \log \sin ^2 x \;dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\pi} \large\frac{x}{a^2 \cos ^2x + b^2 \sin ^2 x}$$dx$

asked Dec 13, 2013 by meena.p

1 answer

Find $\int \limits_2^{-1} f(x) dx\;$, given $\;\int \limits_{-1}^4 f(x) dx =4$ and$\;\int \limits_2^4 [3-f(x) ] dx=7$

asked Dec 13, 2013 by meena.p

1 answer

$f(x)= \left\{ \begin{array}{1 1} e^{\cos x}.\sin x & \quad |x| < 2 \\ 2 & \quad other \end{array}. \right. $ then find $\int \limits_{-2}^3 f(x)dx=?$

asked Dec 13, 2013 by meena.p

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Integrate: $\int \limits_{_z}^{z} \large\frac{2x(1+\sin x)}{1+\cos ^2 x}$$dx$

asked Dec 13, 2013 by meena.p

1 answer

$f(x)= \large\frac{e^x}{1+e^x}$ $\;I_1= \int \limits_{f(-a)}^{f(a)} x g[(x) (1-x)].dx;\;I_2= \int \limits_{f(-a)}^{f(a)} x g[(x) (1-x)].dx;$ then $\large\frac{I_1}{I_2}=?$

asked Dec 13, 2013 by meena.p

1 answer

$I_1= \int \limits_{(-2-k)}^{k+3} x f[x (1-x)].dx; \; I_2= \int \limits_{(-2-k)}^{k+3} x f[x (1-x)].dx; \; \large\frac{I_1}{I_2}=?$

asked Dec 13, 2013 by meena.p

1 answer

Integrate $I= \int \limits_{-\pi}^{\pi} \large\frac{\cos ^2 x}{1+a^x}$$dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate :$\int \limits_6^8 \large\frac{[x^2]}{[x^2-28 x +196]+[x^2]}$$ dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $ \int \limits_3^5 \large\frac{\sqrt {\log (x)}}{\log (\theta- x)+ \log (x)}$$dx$

asked Dec 13, 2013 by meena.p

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Solve : $f(x)=\int \limits_0^2 \large\frac{\sqrt {2-x}}{\sqrt {2-x}+\sqrt {x}}dx$

asked Dec 13, 2013 by meena.p

1 answer

$I_1= \int \limits _0^{\pi} x \log \sin x dx;\; I_2=\int \limits_0^{\pi} \log \sin x dx . $ find $\large\frac{I_1}{I_2}$=?

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\large\frac{\pi}{4}} $$\log |1+ \tan x| dx$

asked Dec 13, 2013 by meena.p

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Integrate : $\int \limits_0^{\infty} \large\frac{\log x}{1+x^2}$$dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\large\frac{\pi}{2}} \large\frac{\cos ^3 x}{\sin ^3 x + \cos ^3 x }$$ dx$

asked Dec 13, 2013 by meena.p

1 answer

$\int \limits_0^n \{x\} dx = \int \limits_0^n x-[x]dx=\large\frac{n}{2}$ if $n=2$ then $y=?$

asked Dec 13, 2013 by meena.p

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$y= \int \limits_0^n [x]dx=\large\frac{n(n-1)}{2}$ if $n=2$ then $y=?$

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $ \int \limits_0^{\large\frac{\pi}{2}} max ^m \{ \sin x , \cos x \} dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $ \int \limits_0^{\large\frac{\pi}{2}} min ^m \{ \tan x , \cot x \} dx$

asked Dec 13, 2013 by meena.p

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Integrate: $\int \limits _0^{3 \pi} \large\frac{|\sin x|}{\sin x}$$dx$

asked Dec 12, 2013 by meena.p

1 answer

Integrate : $ \int \limits _{-1}^5 \large\frac{|x|}{x}$$dx$

asked Dec 12, 2013 by meena.p

1 answer

Integrate: $\int \limits_{1/e}^e | \log_e x| dx $

asked Dec 12, 2013 by meena.p

1 answer

Integrate :$\int \limits_0^3 |2-x|\;dx$

asked Dec 12, 2013 by meena.p

1 answer

$\int \limits_1^4 \large\frac{2 e^{\Large \sin x^2}}{x}$$=f(k)-f(1)$ then find $k$=? if $\large\frac{d}{dx}$$f(x)=\Large\frac{e^{\sin x }}{\normalsize x}$

asked Dec 12, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\large\frac{z}{2}}$$ \cos x \sin ^3 x dx$

asked Dec 12, 2013 by meena.p

1 answer

Integrate: $\int \limits_0^{\frac{z}{2}} \sin ^4 x \cos ^6 x dx$

asked Dec 12, 2013 by meena.p

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Integrate : $\int \limits_0^{\infty} \large\frac{1}{(x^2+g^2)^7}dx$

asked Dec 12, 2013 by meena.p

1 answer

Integrate: $\int \limits_0^{z/4} \sin ^4 (2x)dx $

asked Dec 12, 2013 by meena.p

1 answer

Integrate :$\int \limits_0^1 \large\frac{1}{\sqrt {x-(z-x)}} $$dx$

asked Dec 12, 2013 by meena.p

1 answer

Integrate :$\int \limits_3^4 \large\frac{1}{\sqrt {(x-3)(4-x)}} $$dx$

asked Dec 12, 2013 by meena.p

1 answer

Integrate : $\int\limits_0^5 \sqrt {\large\frac{x^3}{5-x}}dx$

asked Dec 12, 2013 by meena.p

1 answer

Integrate $\int \limits_0^3 \sqrt {\large\frac{x}{3-x}}$$dx$

asked Dec 12, 2013 by meena.p

1 answer

Integrate $\int \limits_0^1 x(1-x)^n dx. n \in N$

asked Dec 12, 2013 by meena.p

1 answer

Integrate: $\int \large\frac{2}{3} \frac{e^x \sqrt {e^x-4}}{e^x+g}$$dt$

asked Dec 12, 2013 by meena.p

1 answer

Integrate $\int \limits_0^1 x^m (1-x)^n.dx$

asked Dec 11, 2013 by meena.p

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Evaluate:$\int \limits_{-\pi}^{\pi} x^{20} \sin ^9x dx $

asked Feb 4, 2013 by meena.p

1 answer

Evaluate $\int \limits_0^ 1 x(1-x)^n dx$

asked Feb 4, 2013 by meena.p

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