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Questions >> CBSE XII >> Math >> Integrals

Choose the correct answers if $f(a+b-x) = f(x)$ , then $\int\limits_a^bx\;f(x)dx$ is equal to

asked Dec 2, 2012 by sreemathi.v

1 answer

Choose the correct answers in the value of $\int\limits_0^1\tan^{-1}\bigg(\frac{\large 2x-1}{\large 1+x-x^2}\bigg)dx\;is$ $(A)\;1\qquad(B)\;0\qquad(C)\;-1\qquad(D)\;\frac{\pi}{4}$

asked Dec 2, 2012 by sreemathi.v

1 answer

Integrate the function $\frac{1}{x^\frac{1}{2}+x^\frac{1}{3}}\qquad[Hint:\frac{1}{x^\frac{1}{2}+x^\frac{1}{3}}=\frac{1}{x^\frac{1}{3}\bigg(1+x^\frac{1}{6}\bigg)},put\;x=t^6]$

asked Dec 2, 2012 by sreemathi.v

1 answer

Integrate the function $\int\frac{1}{x^2(x^4+1)^\frac{3}{4}}$

asked Dec 2, 2012 by sreemathi.v

1 answer

Integrate the function $\frac{1}{x\sqrt{ax-x^2}}[Hint:Put\;x=\frac{a}{t}]$

asked Dec 2, 2012 by sreemathi.v

1 answer

Integrate the function $\frac{1}{\sqrt{x+a}+\sqrt{x+b}}$

asked Dec 2, 2012 by sreemathi.v

1 answer

Integrate the function $\int\frac{1}{x-x^3}$

asked Dec 2, 2012 by sreemathi.v

1 answer

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