Mathematics

Single Correct Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84
Enroll Now For FREE

Realted Questions

Q1 Subjective Medium
The integral of $$\displaystyle \frac{\cos ^{3}x}{\sin ^{2}x+\sin x}$$ gives $$f(x)$$ with const . of integration as zero. find $$f( \pi/2 )$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Subjective Hard
Solve $$\int {\dfrac { 1-{ x }^{ 7 } }{ x\left( 1+{ x }^{ 7 } \right)  }  } dx$$ 

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Single Correct Hard
Evaluate $$\displaystyle\int{\frac{{(x+\sqrt{1+x^2})}^{15}}{\sqrt{1+x^2}}dx}$$.
  • A. $$\displaystyle\frac{{(x+\sqrt{1+x^2})}^{14}}{14}+C$$
  • B. $$\displaystyle\frac{{(x+\sqrt{1+x^2})}^{16}}{16}+C$$
  • C. $$\displaystyle\frac{{(x+\sqrt{1+x^2})}^{17}}{17}+C$$
  • D. $$\displaystyle\frac{{(x+\sqrt{1+x^2})}^{15}}{15}+C$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Single Correct Medium
$$\displaystyle \int{\dfrac{1}{\cos^{2}x(1-\tan x)^{2}}dx}$$=
  • A. $$\dfrac{1}{1-\tan x}+c$$
  • B. $$-\dfrac{1}{3}\dfrac{1}{(1-\tan x)^{3}}+c$$
  • C. $$none\ of\ these$$
  • D. $$\dfrac{1}{\tan x-1}+c$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Easy
Evaluate:
$$ \int_{}^{} {\frac{{ - 1}}{{\sqrt {1 - {x^2}} }}dx} $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer