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Realted Questions

Q1 Subjective Medium
Evaluate the following integrals:$$\displaystyle \int {\dfrac{4x+3}{2x+1}.dx}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q2 Single Correct Medium
$$\int \displaystyle \frac{sin\frac{x}{2}+cos^{2}\frac{x}{2}}{1+cos x}dx=$$
  • A. $$\sec\frac{x}{2}+x+c$$
  • B. $$\displaystyle\sec\frac{x}{2}-\frac{x}{2}+C$$
  • C. $$\displaystyle\sec\frac{x}{2}-X+C$$
  • D. $$\displaystyle \sec\frac{x}{2}+\frac{x}{2}+c$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q3 Subjective Medium
Solve : $$\displaystyle \int \dfrac{x^2}{(4 + x)^{3/2}} dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q4 Single Correct Medium
$$\overset { 4 }{ \underset { -4 }{ \displaystyle\int }  }\log \left( \dfrac { 9-x }{ 9+x }  \right)$$ dx equals.
  • A. $$4$$
  • B. $$-4$$
  • C. $$8$$
  • D. $$0$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q5 Single Correct Medium
Evaluate : $$\displaystyle \int \sec x\tan x\sqrt{\sec ^{2}x+1}dx.$$
  • A. $$\displaystyle \frac{1}{2}t\sqrt{t^{2}+1}-\frac{1}{2}\log \left [ t+\sqrt{t^{2}+1} \right ].$$ where $$t=\sec x$$
  • B. $$\displaystyle t\sqrt{t^{2}+1}+\log \left [ t+\sqrt{t^{2}+1} \right ].$$ where $$t=\sec x$$
  • C. $$\displaystyle \frac{1}{2}t\sqrt{t^{2}+1}+\frac{1}{2}\log \left [ t-\sqrt{t^{2}+1} \right ].$$ where $$t=\sec x$$
  • D. $$\displaystyle \frac{1}{2}t\sqrt{t^{2}+1}+\frac{1}{2}\log \left [ t+\sqrt{t^{2}+1} \right ].$$ where $$t=\sec x$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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