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IntegrationQuestion and Answers: Page 152

Question Number 102064 Answers: 1 Comments: 0

∫ ((sin 3x)/(cos 5x. cos 2x)) dx ?

$\int \frac{\sin 3 x}{\cos 5 x . \cos 2 x} dx ?$

Question Number 102043 Answers: 0 Comments: 1

∫e^(√(ax+b)) dx

$\int e^{\sqrt{a x + b}} d x$

Question Number 102001 Answers: 2 Comments: 0

evaluate ∫cos^3 xsin^3 xdx.

$e v a l u a t e \int \cos^{3} x \sin^{3} x d x .$

Question Number 101985 Answers: 1 Comments: 0

∫ ((3x^5 − x^4 + 9x^3 − 12x^2 − 2x + 1)/((x^3 − 1)^2 )) dx

$\int \frac{{3 x}^{5} - x^{4} + {9 x}^{3} - {12 x}^{2} - 2 x + 1}{{(x^{3} - 1)}^{2}} dx$

Question Number 102058 Answers: 1 Comments: 0

∫_0 ^1 ((sin(logx))/(logx))dx

$\int_{0}^{1} \frac{s i n (l o g x)}{l o g x} d x$

Question Number 102183 Answers: 4 Comments: 0

∫ ((cos θ)/(sin θ−cos θ)) dθ ?

$\int \frac{\cos θ}{\sin θ - \cos θ} d θ ?$

Question Number 101970 Answers: 1 Comments: 0

∫_0 ^∞ ((Cos(ax))/(x^2 +b^2 )) dx

$\int_{0}^{\infty} \frac{C o s (a x)}{x^{2} + b^{2}} d x$

Question Number 101959 Answers: 1 Comments: 0

Starting from y=(4/(√π))t^((3/2) ) ∫_0 ^∞ x^3 e^(−tx^2 ) dx find (π/8)=?

$S t a r t i n g f r o m$ $y = \frac{4}{\sqrt{π}} t^{\frac{3}{2}} \int_{0}^{\infty} x^{3} e^{- {t x}^{2}} d x$ $f i n d \frac{π}{8} = ?$

Question Number 101940 Answers: 1 Comments: 0

lim_(n→∞ ) (1/n^2 )(ne^((−1)/n^2 ) +ne^((−4)/n^2 ) +.....∞)

$\lim_{n \to \infty} \frac{1}{n^{2}} ({n e}^{\frac{- 1}{n^{2}}} + {n e}^{\frac{- 4}{n^{2}}} + . . . . . \infty)$

Question Number 102313 Answers: 2 Comments: 0

Question Number 101835 Answers: 3 Comments: 0

∫_0 ^∞ (1/(e^x +1)) dx

$\underset{0}{\int^{\infty}} \frac{1}{e^{x} + 1} d x$

Question Number 101833 Answers: 3 Comments: 0

∫ _(−1)^1 (√((1+x)/(1−x))) dx ?

$\int_{- 1}^{1} \sqrt{\frac{1 + x}{1 - x}} d x ?$

Question Number 101816 Answers: 1 Comments: 0

∫_1 ^( e) (((tan^(−1) x)/x)+((log)/(x^2 +1)))dx

$\int_{1}^{e} (\frac{{t a n}^{- 1} x}{x} + \frac{l o g}{x^{2} + 1}) d x$

Question Number 101808 Answers: 2 Comments: 0

∫_(1/3) ^1 (((x−x^3 )^(1/3) )/x^4 )dx

$\int_{\frac{1}{3}}^{1} \frac{{(x - x^{3})}^{1 / 3}}{x^{4}} dx$

Question Number 101793 Answers: 1 Comments: 0

∫_1 ^2 ((logu)/(((√(u−1)))((√(u−1))+1)))du

$\int_{1}^{2} \frac{l o g u}{(\sqrt{u - 1}) (\sqrt{u - 1} + 1)} d u$

Question Number 101791 Answers: 2 Comments: 0

(1/n^(3 ) )lim_(n→∞) (ne^(−((1/n))^2 ) +2ne^(−((2/n))^2 ) +....∞)

$\frac{1}{n^{3}} \lim_{n \to \infty} ({n e}^{- {(\frac{1}{n})}^{2}} + 2 {n e}^{- {(\frac{2}{n})}^{2}} + . . . . \infty)$

Question Number 101783 Answers: 2 Comments: 0

∫_( 0) ^( 1) ((ln(x^2 + 1))/(x + 1))

$\int_{0}^{1} \frac{\ln (x^{2} + 1)}{x + 1}$

Question Number 101775 Answers: 0 Comments: 1

∫x^x^x ∙x^x ∙xdx=? or it able to solve?

$\int x^{x^{x}} \cdot x^{x} \cdot x d x = ?$ $o r i t a b l e t o s o l v e ?$

Question Number 101747 Answers: 1 Comments: 0

∫(x^((−1)/2) /(1+x^(1/3) ))dx

$\int \frac{x^{\frac{- 1}{2}}}{1 + x^{\frac{1}{3}}} d x$

Question Number 101650 Answers: 2 Comments: 1

Question Number 101633 Answers: 1 Comments: 2

∫x^x^x ∙x^x ∙x dx=?

$\int x^{x^{x}} \cdot x^{x} \cdot x dx = ?$

Question Number 101608 Answers: 0 Comments: 0

∫_(0 ) ^(π/2) ln(((ln^2 (sin(θ)))/(π^2 +ln^2 (sin(θ)))))((ln(cos(θ)))/(tan(θ)))dθ

$\int_{0}^{\frac{π}{2}} l n (\frac{{l n}^{2} (s i n (θ))}{π^{2} + {l n}^{2} (s i n (θ))}) \frac{l n (c o s (θ))}{t a n (θ)} d θ$

Question Number 101601 Answers: 1 Comments: 0

∫_((√2)−1) ^((√2)+1) ((x^4 +x^2 +1)/((x^2 +1)^2 ))dx

$\int_{\sqrt{2} - 1}^{\sqrt{2} + 1} \frac{x^{4} + x^{2} + 1}{{(x^{2} + 1)}^{2}} d x$

Question Number 101597 Answers: 0 Comments: 3

∫ ln (1+ e^x ) dx = ..

$\int \ln (1 + e^{x}) d x = . .$

Question Number 101585 Answers: 1 Comments: 0

∫_0 ^π (1/(a^2 −2a cosx + 1))dx (a<1) is

$\int_{0}^{π} \frac{1}{a^{2} - 2 a c o s x + 1} d x (a < 1) i s$

Question Number 101860 Answers: 1 Comments: 1

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