Recent questions tagged sec-b

Integrate the function $\;\int\;x\;sin\;x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[x\;\sin3x\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[x^2logx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[x\;\sin^{-1}x\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;x\;\tan^{-x}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[x\;\cos^{-1}x\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $(\sin^{-1}x)^2$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\frac{x\cos^{-1}x}{\sqrt{1-x^2}}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\tan^{-1}x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x(\log x)^2$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;(x^2+1)\;log\;x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $e^x\bigg(\frac{1+\sin x}{1+\cos x}\bigg)$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;e^{2x}\sin\; x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sin^{-1}\bigg(\large\frac{2x}{1+x^2}\bigg)$

asked Dec 4, 2012 by sreemathi.v

1 answer

Find the area of the region bounded by the curves $y = x^2 + 2, y = x, \: x = 0$ and $x = 3.$

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Using integration find the area of the triangular region whose sides have the equations $y = 2x + 1, y = 3x + 1$ and $x = 4.$

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the smaller area enclosed by the circle $x^2 + y^2 = 4$ and the line $x + y = 2$ is \[ \begin{array}{1} (A)\;2(\pi - 2) \qquad & (B)\;\pi - 2 \qquad &(C)\;2\pi - 1 \qquad & (D)\;2 ( \pi + 2) \end{array} \]

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the area lying between the curves $y^2 = 4x$ and $y = 2x$ is

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area between the curves $y = x$ and $y = x^2.$

asked Dec 4, 2012 by thanvigandhi_1

2 answers

Find the area enclosed between the parabola $y^2 = 4ax$ and the line $y = mx.$

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the smaller region bounded by the ellipse $ \frac{\large x^2}{\large 9} + \frac{\large y^2}{\large 4} =1$ and the line $ \frac{\large x}{\large 3}+ \frac{\large y}{\large 2}= 1$

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the smaller region bounded by the ellipse $\Large { \frac{ x^2}{ a^2}}+\Large { \frac{ y^2}{ b^2}} =\normalsize 1$ and the line $\Large { \frac{ x}{ a}}+\Large { \frac{y}{ b}} =\normalsize1$

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the region enclosed by the parabola $x^2 = y$, the line $y = x + 2$ and the $x$ - axis.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Using the method of integration find the area bounded by the curve I x I + I y I =1 . [Hint: The required region is bounded by lines $x + y = 1, x - y = 1, -x + y = 1$ and $ -x -y = 1$].

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area bounded by curves {(x, y)$ : y\: \geq\: x^2\: and \: y = |\; x\; |$}.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B(4, 5) and C(6, 3).

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the the area of the circle $x^2 + y^2 = 16$ exterior to the parabola $y^2 = 6x$ is \[\begin{array} (A) \frac{4}{3} (4\pi - \sqrt 3) \quad &(B) \frac{4}{3} (4\pi + \sqrt 3) \quad & (C) \frac{4}{3} (8\pi - \sqrt 3) \quad & (D) \frac{4}{3} (8\pi + \sqrt 3) \end{array}\]

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Evaluate the definite integral as limits of sums $\displaystyle\int\limits_a^bx\;dx$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral as limits of sums $\displaystyle\int\limits_0^5(x+1)dx$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral as limits of sums $\begin{align}\int\limits_2^3x^2dx \end{align}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral as limits of sums\[\int\limits_{-1}^1e^xdx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Find the area of the region bounded by the curve $y^2 = 4x$ and the line $x = 3$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Evaluate the definite integral $\displaystyle\int\limits_1^2\frac{5x^2}{x^2+4x+3}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral $\displaystyle\int\limits_0^2\frac{6x+3}{x^2+4}dx$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral $\displaystyle\int\limits_0^1(xe^x+\sin\frac{\pi\;x}{4})dx$

asked Dec 4, 2012 by sreemathi.v

1 answer

The area between $x = y^2$ and $x = 4$ is divided into two equal parts by the line $x = a$, find the value of $a$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the smaller part of the circle $x^2 + y^2 = a^2$ cut off by the line $x =\Large { \frac{a}{\sqrt 2}}$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the region bounded by the curve $y^2 = x$ and the lines $x = 1, x = 4$ and the $x$ - axis.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Evaluate the integral using substitution\[\int\limits_0^2\frac{dx}{x+4-x^2}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the integral using substitution\[\int\limits_{-1}^1\frac{dx}{x^2+2x+5}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\frac{\Large \pi}{\Large 2}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}\;dx\]

asked Dec 3, 2012 by sreemathi.v

1 answer

By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\frac{\pi}{2}\frac{\sin^\frac{3}{2}\;x\;dx}{\sin^\frac{3}{2}\;x+\cos^\frac{3}{2}\;x}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\frac{\pi}{2}\frac{\cos^5x\;dx}{\sin^5x+\cos^5x}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

By using the properties of definite integrals,evaluate the integral\[\int\limits_{-5}^5\mid x+2 \mid\;dx\]

asked Dec 3, 2012 by sreemathi.v

1 answer

By using the properties of definite integrals,evaluate the integral\[\int\limits_2^8\mid x-5 \mid\;dx\]

asked Dec 3, 2012 by sreemathi.v

1 answer

By using the properties of definite integrals, evaluate the integral $\int\limits_0^\frac{\Large \pi}{\Large 2}(2 \log \sin x-\log \sin 2x)\;dx$

asked Dec 3, 2012 by sreemathi.v

1 answer

By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\pi\frac{x\;dx}{1+\sin x}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Integrate the function\[\frac{5x}{(x+1)(x^2+9)}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Integrate the function $\large\int\frac{\sin x}{\sin(x-a)}$

asked Dec 3, 2012 by sreemathi.v

1 answer

Integrate the function\[\int\frac{\sin^8x-\cos^8x}{1-2\sin^2x\cos^2x}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

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