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Integral Calculus

Authored by Deena Scaria

Mathematics

University - Professional Development

CCSS covered

Used 92+ times

Integral Calculus
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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 ∫−dx1+x2=\int-\frac{dx}{1+x^2}=  

 (1+x2)−1+C\left(1+x^2\right)^{-1}+C  

 −tan⁡x+C-\tan x+C  

 −ln⁡(1+x2)+C-\ln\left(1+x^2\right)+C  

 ln⁡(1+x2)+C\ln\left(1+x^2\right)+C  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 ∫dx=\int dx=  

 00  

 x+Cx+C  

 11  

 undefinedundefined  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 ddx(c)=\frac{\text{d}}{\text{d}x}\left(c\right)=  

 11  

 cc  

 00  

 cxcx  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 ∫1x2+1dx=\int\frac{1}{x^2+1}dx=  

 sec⁡−1x+C\sec^{-1}x+C  

 tan⁡−1x+C\tan^{-1}x+C  

 ln⁡∣x2+1∣+C\ln\left|x^2+1\right|+C  

 cos⁡−1x+C\cos^{-1}x+C  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 ∫sin⁡xdx\int\sin xdx  

 cos⁡x+C\cos x+C  

 sin⁡2x+C\sin^2x+C  

 −cos⁡x+C-\cos x+C  

 12sin⁡2x+C\frac{1}{2}\sin^2x+C  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 ∫dx1−x2=\int\frac{dx}{\sqrt{1-x^2}}=  

 sec⁡−1x+C\sec^{-1}x+C  

 tan⁡−1x+C\tan^{-1}x+C  

 cos⁡−1x+C\cos^{-1}x+C  

 sin⁡−1x+C\sin^{-1}x+C  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 ddx(tan⁡−1x)=\frac{\text{d}}{\text{d}x}\left(\tan^{-1}x\right)=  

 11+x2\frac{1}{1+x^2}  

 11−x2\frac{1}{1-x^2}  

 11−x2\frac{1}{\sqrt{1-x^2}}  

 1x2−1\frac{1}{\sqrt{x^2-1}}  

Tags

CCSS.HSF.TF.B.7

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