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Realted Questions

Q1 Subjective Medium
Evaluate the following integral
$$\int { \cfrac { a }{ b+c{ e }^{ x } }  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q2 Subjective Medium
Evaluate :
$$\int {\dfrac{1}{{\left( {x + 2} \right)\left( {x + 2} \right)}}} dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q3 Subjective Medium
Evaluate
$$\displaystyle\int_{0}^{1}\dfrac{1-x^{2}}{(1+x^{2})^{2}}dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q4 Single Correct Medium
The value of $$\displaystyle \int_{0}^{\dfrac {\pi}{4}} (\sqrt {\tan x} +  \sqrt {\cot x})\,\, dx$$ is equal to
  • A. $$\dfrac {\pi}{2}$$
  • B. $$-\dfrac {\pi}{2}$$
  • C. $$-\dfrac {\pi}{\sqrt {2}}$$
  • D. $$\dfrac {\pi}{\sqrt {2}}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q5 Passage Medium
Consider two differentiable functions $$f(x), g(x)$$ satisfying $$\displaystyle 6\int f(x)g(x)dx=x^{6}+3x^{4}+3x^{2}+c$$ & $$\displaystyle 2 \int \frac {g(x)dx}{f(x)}=x^{2}+c$$. where $$\displaystyle f(x)>0    \forall  x \in  R$$

On the basis of above information, answer the following questions :

Asked in: Mathematics - Limits and Derivatives


1 Verified Answer | Published on 17th 08, 2020

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