Recent questions in Integrals

Integrate the function $\sqrt{x^2+4x-5}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{1+3x-x^2}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{x^2+3x}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[\sqrt{1+\frac{x^2}{9}}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $\Large \int \normalsize \sqrt{1+x^2}dx$ is equal to \[\begin{array}{l}(A)\;\frac{x}{2}\sqrt{1+x^2}+\frac{1}{2}log\LARGE\mid\normalsize\bigg(x+\sqrt{1+x^2}\bigg)\LARGE\mid\normalsize+C \\(B)\;\frac{2}{3}(1+x^2)^\frac{3}{2}+C\qquad \\ (C)\;\frac{2}{3}x(1+x^2)^\frac{3}{2}+ C \\ (D)\;\frac{x^2}{2}\sqrt{1+x^2}+\frac{1}{2}x^2log\LARGE\mid\normalsize x+\sqrt{1+x^2}\LARGE\mid\normalsize+C \end{array}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $ \Large \int \normalsize \sqrt{x^2-8x+7} \: dx$ is equal to\[ \begin{array}{l} (A)\frac{1}{2}(x-4)\sqrt{x^2-8x+7}+9\;log\mid x-4+\sqrt{x^2-8x+7}\mid + \; C \\ (B)\frac{1}{2}(x+4)\sqrt{x^2-8x+7}+9\;log\mid x+4+\sqrt{x^2-8x+7}\mid + \; C \\ (C) \frac{1}{2}(x-4)\sqrt{x^2-8x+7}-3\sqrt2log\mid x-4+\sqrt{x^2-8x+7}\mid+ \; C \\ (D)\frac{1}{2}(x-4)\sqrt{x^2-8x+7}-\frac{9}{2}\;log\mid x-4+\sqrt{x^2-8x+7}\mid + \; C \end{array}\]

asked Dec 4, 2012 by sreemathi.v

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\[\int\limits_1^4(x^2-x)dx\]

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

Evaluate the definite integral as limits of sums $\displaystyle\int\limits_0^4(x+e^{2x})dx$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_{-1}^1(x+1)dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_2^3\frac{1}{x}dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_1^2(4x^3-5x^2+6x+9)\;dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_0^\frac{\Large \pi}{\Large 4}\sin 2x\;dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_0^\frac{\Large \pi}{\Large 2}\cos 2x\;dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_4^5e^x\;dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_0^\frac{\Large \pi}{\Large 4}\tan x\;dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_\frac{\Large \pi}{\Large 6}^\frac{\Large \pi}{\Large 4}cosec x\;dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_0^1\frac{dx}{\sqrt{1-x^2}}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_0^1\frac{dx}{1+x^2}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_2^3\frac{dx}{x^2-1}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral $\begin{align}\int\limits_0^\frac{\Large \pi}{2}\cos^2xdx \end{align}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral $\begin{align}\int\limits_2^3\frac{xdx}{x^2+1} \end{align}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral $\begin{align}\int\limits_0^1\frac{2x+3}{5x^2+1}dx \end{align}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_0^1x\;e^{x^2}dx\]

asked Dec 4, 2012 by sreemathi.v

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\[\int\limits_0^\frac{\large\pi}{4}(2\sec^2x+x^3+2)dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral $\int\limits_0^\pi(\sin^2\frac{x}{2}-\cos^2\frac{x}{2})dx$

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

Choose the correct answer in $\int\limits_1^\sqrt 3\frac{dx}{1+x^2}\;equals$\[(A)\;\frac{\pi}{3}\qquad(B)\;\frac{2\pi}{3}\qquad(C)\;\frac{\pi}{6}\qquad(D)\;\frac{\pi}{12}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $\int\limits_0^\frac{2}{3}\frac{dx}{4+9x^2}$ equals

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the integral using substitution\[\int\limits_0^1\frac{x}{x^2+1}dx\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the integral using substitution $\int\limits_0^\frac{\large\pi}{2}\sqrt{\sin\phi}\cos^5\phi\;d\phi$

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the integral using substitution $\begin{align}\int\limits_0^1\sin^{-1}\bigg(\frac{2x}{1+x^2}\bigg)dx \end{align}$

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the integral using substitution $\int\limits_0^2 x\sqrt{x+2}\;(Put\;x+2=t^2)$

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the integral using substitution\[\int\limits_0^\frac{\large \pi}{2}\frac{\sin x}{1+\cos^2x}dx\]

asked Dec 3, 2012 by sreemathi.v

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

Evaluate the integral using substitution $\displaystyle\int\limits_1^2\bigg(\frac{1}{x}-\frac{1}{2x^2}\bigg)e^{2x}dx$

asked Dec 3, 2012 by sreemathi.v

1 answer

Choose the correct answer in the value of the integral$\begin{align}\int\limits_\frac{1}{3}^1\frac{(x-x^3)^\frac{1}{3}}{x^4}dx \end{align}$ is

asked Dec 3, 2012 by sreemathi.v

1 answer

Choose the correct answer If f(x)=$\int\limits_0^x t\sin t\;dt,$ then f'(x) is

asked Dec 3, 2012 by sreemathi.v

1 answer

By using the properties of definite integrals,evaluate the integral $\begin{align}\int\limits_0^\frac{\Large \pi}{\Large 2}\cos^2x\;dx \end{align}$

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

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