Find the antiderivative of: ∫ x d x \int_{ }^{ }\sqrt{x}\ \ dx ∫ x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> d x

2 3 x 3 2 + c \frac{2}{3}x^{\frac{3}{2}}+c 3 2 x 2 3 + c

1 x + c \frac{1}{\sqrt{x}}+c x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1 + c

3 2 x 3 2 + c \frac{3}{2}x^{\frac{3}{2}}+c 2 3 x 2 3 + c

1 2 x 3 2 + c \frac{1}{2\ }x^{\frac{3}{2}}+c 2 1 x 2 3 + c

Find the antiderivative : ∫ 4 7 x d x \int_{ }^{ }\ \frac{4}{7x}dx ∫ 7 x 4 d x

4 7 ln ⁡ ( x ) + c \frac{4}{7}\ln\left(x\right)+c 7 4 ln ( x ) + c

− 4 7 ln ⁡ ( x ) + c -\frac{4}{7}\ \ln\left(x\right)\ +c − 7 4 ln ( x ) + c

4 7 x + c \frac{4}{7}x\ +c 7 4 x + c

4 7 ln ⁡ ( x ) \frac{4}{7}\ln\left(x\right) 7 4 ln ( x )

Find the antiderivative of: ∫ ( e x − cos ⁡ ( x ) ) d x \int_{ }^{ }\left(e^x-\cos\left(x\right)\right)dx ∫ ( e x − cos ( x ) ) d x

e x − sin ⁡ ( x ) + c e^x-\sin\left(x\right)+c e x − sin ( x ) + c

e 2 x − sin ⁡ ( x ) + c e^{2x}-\sin\left(x\right)+c e 2 x − sin ( x ) + c

e x − sin ⁡ ( x ) e^x-\sin\left(x\right) e x − sin ( x )

e x + sin ⁡ ( x ) + c e^x+\sin\left(x\right)+c e x + sin ( x ) + c

Find the antiderivative of: ∫ ( sin ⁡ ( x ) − 5 sec ⁡ ( x ) tan ⁡ ( x ) ) d x \int_{ }^{ }\left(\sin\left(x\right)-5\sec\left(x\right)\tan\left(x\right)\right)\ dx ∫ ( sin ( x ) − 5 sec ( x ) tan ( x ) ) d x

− cos ⁡ ( x ) − 5 sec ⁡ ( x ) + c -\cos\left(x\right)-5\sec\left(x\right)+c − cos ( x ) − 5 sec ( x ) + c

cos ⁡ ( x ) − 5 sec ⁡ ( x ) + c \cos\left(x\right)-5\sec\left(x\right)+c cos ( x ) − 5 sec ( x ) + c

sin ⁡ ( x ) − 5 sec ⁡ ( x ) + c \sin\left(x\right)-5\sec\left(x\right)+c sin ( x ) − 5 sec ( x ) + c

− cos ⁡ ( x ) − 5 sec ⁡ ( x ) tan ⁡ ( x ) + c -\cos\left(x\right)-5\sec\left(x\right)\tan\left(x\right)+c − cos ( x ) − 5 sec ( x ) tan ( x ) + c

Find the antiderivative of: ∫ ( 4 x 3 2 + 7 csc ⁡ ( x ) cot ⁡ ( x ) ) d x \int_{ }^{ }\left(\frac{4}{x^{\frac{3}{2}}}+7\csc\left(x\right)\cot\left(x\right)\right)dx ∫ ( x 2 3 4 + 7 csc ( x ) cot ( x ) ) d x

− 8 x − 7 csc ⁡ ( x ) + c -\frac{8}{\sqrt{x}}-7\csc\left(x\right)+c − x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 8 − 7 csc ( x ) + c

− 8 x − 7 csc ⁡ ( x ) + c -8\sqrt{x}-7\csc\left(x\right)+c − 8 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 7 csc ( x ) + c

8 x + 7 csc ⁡ ( x ) + c \frac{8}{\sqrt{x}}+7\csc\left(x\right)+c x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 8 + 7 csc ( x ) + c

8 x − 7 csc ⁡ ( x ) + c \frac{8}{\sqrt{x}}-7\csc\left(x\right)+c x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 8 − 7 csc ( x ) + c

Indefinite Integrals - Worksheet-Gr 12-Mr.Hajaj

Authored by ibrahem hajaj

Mathematics

12th Grade - University

CCSS covered

Used 4+ times

Indefinite Integrals - Worksheet-Gr 12-Mr.Hajaj

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31 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫ t⁶ dt

6t⁵

6t⁵ + C

1/7 t⁷ + C

t⁷ + C

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫ 4 dx

4t + C

4x + C

2x² + C

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

-(24/4)x⁴+C

-4x⁶+C

-4x⁵+C

-24x⁶+C

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∫(4 - 18x)dx

F(x) = -18

F(x) = 4x - 9x²

F(x) = 4x - 9x²+ C

F(x) = (4 - 18x)² /2 + C

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

-4x⁶-5x²+C

-24x⁶-10x²+C

-4x⁵-5x+C

-4x⁶-10+C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the indefinite integral.

$\int_{ }^{ }\left(2x+2x^{-3}-6x^{-4}\right)dx$

$x-x^{-3}+2x^4+C$

$-2x+C$

$x^2-x^{-2}+2x^{-3}+C$

$2x^2+2x^{-2}-6x^{-3}+C$

Tags

CCSS.7.EE.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the indefinite integral.

$\int_{ }^{ }\left(16x^3+5-6x^{-3}\right)dx$

$4x^3+5+3x^{-3}+C$

$4x^4+5x+3x^{-2}+c$

$16x^4+5x-6x^{-2}+C$

$15x+C$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int\left(6x^5+\frac{3}{4}x^3+\frac{1}{2}x\right)\ dx\ \ \ \ \ if\ f\left(1\right)=2$

$30x^4+\frac{9}{4}x^2\ +c$

$x^6+3x^4+x^2$

$x^6+3x^4+x^2-3$

$x^6+3x^4+x^2+5$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int\left(4x^3-3x^2-2\right)dx\ ,\ \ \ \ if\ f\left(2\right)=5$

$12x^2-6x$

$x^4-x^3-2x\ +c$

$x^4-x^3-2x+5$

$x^4-x^3-2x+1$

Tags

CCSS.HSA.APR.A.1

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

F(x) = $2x^2+4x\ +3$ Find f(x), when f(0) = 5

$\frac{2}{3}x^3+2x^2+3x\$

$\frac{2}{3}x^3+2x^2\ +3x\ +5$

$\frac{2}{3}x^3+2x\ ^2+3x\ +\ c$

$4x\ +4$

Tags

CCSS.HSF.IF.A.2

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Indefinite Integrals - Worksheet-Gr 12-Mr.Hajaj

∫ t⁶ dt

∫ 4 dx

∫(4 - 18x)dx

Evaluate the indefinite integral. ∫(2x+2x−3−6x−4)dx\int_{ }^{ }\left(2x+2x^{-3}-6x^{-4}\right)dx∫​(2x+2x−3−6x−4)dx

Evaluate the indefinite integral. ∫(16x3+5−6x−3)dx\int_{ }^{ }\left(16x^3+5-6x^{-3}\right)dx∫​(16x3+5−6x−3)dx

∫(6x5+34x3+12x) dx if f(1)=2\int\left(6x^5+\frac{3}{4}x^3+\frac{1}{2}x\right)\ dx\ \ \ \ \ if\ f\left(1\right)=2∫(6x5+43​x3+21​x) dx if f(1)=2

∫(4x3−3x2−2)dx , if f(2)=5\int\left(4x^3-3x^2-2\right)dx\ ,\ \ \ \ if\ f\left(2\right)=5∫(4x3−3x2−2)dx , if f(2)=5

F(x) = 2x2+4x +32x^2+4x\ +32x2+4x +3 Find f(x), when f(0) = 5

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Evaluate the indefinite integral.

$\int_{ }^{ }\left(2x+2x^{-3}-6x^{-4}\right)dx$

Evaluate the indefinite integral.

$\int_{ }^{ }\left(16x^3+5-6x^{-3}\right)dx$

$\int\left(6x^5+\frac{3}{4}x^3+\frac{1}{2}x\right)\ dx\ \ \ \ \ if\ f\left(1\right)=2$

$\int\left(4x^3-3x^2-2\right)dx\ ,\ \ \ \ if\ f\left(2\right)=5$

F(x) = $2x^2+4x\ +3$ Find f(x), when f(0) = 5