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IntegrationQuestion and Answers: Page 320

Question Number 22562 Answers: 0 Comments: 0

solve∫_0 ^1 ln(x)dx/x^2 −x−1 dx

$s o l v e {\int^{1}}_{0} l n (x) d x / x^{2} - x - 1 d x$

Question Number 22261 Answers: 1 Comments: 0

Slove ∫xtanx dx

$Slove$ $\int xtanx dx$

Question Number 22247 Answers: 1 Comments: 0

I=∫(√)x^2 +a^2 dx

$I = \int \sqrt{} x^{2} + a^{2} dx$

Question Number 22210 Answers: 1 Comments: 0

∫((4x)/e^(3x) )dx

$\int \frac{4 x}{e^{3 x}} d x$

Question Number 22221 Answers: 1 Comments: 1

∫ ((a_0 +b_0 x^2 )/((a+x)^2 ))dx

$\int \frac{a_{0} + b_{0} x^{2}}{{(a + x)}^{2}} d x$

Question Number 22166 Answers: 1 Comments: 0

If∫_1 ^4 f(x) dx = 5 what is the value of ∫_0 ^1 f(3x +1) dx ?

$If \underset{1}{\int^{4}} f (x) d x = 5$ $what is the value of \underset{0}{\int^{1}} f (3 x + 1) d x ?$

Question Number 22151 Answers: 1 Comments: 0

integrate ∫((cosx−cos2x)/(1+cosx))dx

$i n t e g r a t e$ $\int \frac{c o s x - c o s 2 x}{1 + c o s x} d x$

Question Number 21970 Answers: 1 Comments: 0

integrate ∫sec^3 xdx

$i n t e g r a t e$ $\int {s e c}^{3} x d x$

Question Number 21904 Answers: 0 Comments: 3

Compute the area of a loop of the curve ((x^2 /a^2 )+(y^2 /b^2 ))=((2xy)/c^2 ) .

$C o m p u t e t h e a r e a o f a l o o p o f t h e$ $c u r v e (\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}) = \frac{2 x y}{c^{2}} .$

Question Number 21965 Answers: 1 Comments: 0

integrate ∫sin^3 xdx

$i n t e g r a t e$ $\int {s i n}^{3} x d x$

Question Number 21810 Answers: 1 Comments: 0

integrate ∫(x^2 /(√(1−x^2 )))dx

$i n t e g r a t e$ $\int \frac{x^{2}}{\sqrt{1 - x^{2}}} d x$

Question Number 21772 Answers: 2 Comments: 0

integrate ∫2^(4x) dx

$i n t e g r a t e$ $\int 2^{4 x} d x$

Question Number 21721 Answers: 1 Comments: 0

∫_0 ^(π/2) sin^2 xcos^3 xdx

$\int_{0}^{π / 2} {s i n}^{2} {x c o s}^{3} x d x$

Question Number 21720 Answers: 1 Comments: 0

∫sin^5 θdθ

$\int {s i n}^{5} θ d θ$

Question Number 21707 Answers: 0 Comments: 3

∫_(π/6) ^(π/3) (1/2)cot^2 2θdθ

$\int_{π / 6}^{π / 3} \frac{1}{2} {c o t}^{2} 2 θ d θ$

Question Number 21702 Answers: 0 Comments: 1

∫_(π/6) ^(π/3) 1/2cot^2 2θdθ

$\int_{π / 6}^{π / 3} 1 / 2 {c o t}^{2} 2 θ d θ$

Question Number 21701 Answers: 2 Comments: 1

∫2cot^2 2t

$\int 2 {c o t}^{2} 2 t$

Question Number 21662 Answers: 1 Comments: 0

Question Number 21679 Answers: 1 Comments: 0

∫((secθ dθ)/(1−secθ))

$\int \frac{\sec θ d θ}{1 - \sec θ}$

Question Number 21680 Answers: 1 Comments: 0

∫(√(secθ)) dθ

$\int \sqrt{\sec θ} d θ$

Question Number 21634 Answers: 1 Comments: 0

∫3tan2t

$\int 3 t a n 2 t$

Question Number 21708 Answers: 1 Comments: 0

∫_0 ^(0.5) 2tan^2 2tdt

$\int_{0}^{0.5} 2 {t a n}^{2} 2 t d t$

Question Number 21591 Answers: 1 Comments: 1

5cos^5 tsin t

$5 \cos^{5} t \sin t$

Question Number 21595 Answers: 1 Comments: 1

3sec^2 3xtan3x

${3 \sec}^{2} 3 x t a n 3 x$

Question Number 21582 Answers: 1 Comments: 0

∫_(π/2) ^(π/4) (3x+7)

$\int_{π / 2}^{π / 4} (3 x + 7)$

Question Number 21450 Answers: 0 Comments: 0

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