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IntegrationQuestion and Answers: Page 200

Question Number 76355 Answers: 2 Comments: 0

find ∫ ((arctan((√(1+x))))/(2+x))dx

$f i n d \int \frac{a r c t a n (\sqrt{1 + x})}{2 + x} d x$

Question Number 76353 Answers: 0 Comments: 1

find the value of ∫_0 ^∞ ((arctan(sin(πx^2 )))/(x^2 +π^2 ))dx

$f i n d t h e v a l u e o f \int_{0}^{\infty} \frac{a r c t a n (s i n (π x^{2}))}{x^{2} + π^{2}} d x$

Question Number 76352 Answers: 0 Comments: 1

calculate ∫_0 ^∞ ((sin(arctan(x^2 +2)))/(x^2 +1))dx

$c a l c u l a t e \int_{0}^{\infty} \frac{s i n (a r c t a n (x^{2} + 2))}{x^{2} + 1} d x$

Question Number 76351 Answers: 0 Comments: 0

calculate U_n =∫_(1/n) ^1 Γ(x)dx and find lim_(n→+∞) U_n

$c a l c u l a t e U_{n} = \int_{\frac{1}{n}}^{1} Γ (x) d x a n d f i n d {l i m}_{n \to + \infty} U_{n}$

Question Number 76350 Answers: 0 Comments: 1

calculate ∫_0 ^∞ ((arctan(e^x^2 ))/(x^2 +4))dx

$c a l c u l a t e \int_{0}^{\infty} \frac{a r c t a n (e^{x^{2}})}{x^{2} + 4} d x$

Question Number 76323 Answers: 0 Comments: 2

Question Number 76317 Answers: 0 Comments: 3

Question Number 76298 Answers: 1 Comments: 4

∫(√( tanx+cotxdx))

$\int \sqrt{tanx + cotxdx}$

Question Number 76220 Answers: 1 Comments: 1

Question Number 76194 Answers: 0 Comments: 1

calculate ∫_0 ^∞ ((cos(x^2 ))/(x^4 −x^2 +1))dx

$c a l c u l a t e \int_{0}^{\infty} \frac{c o s (x^{2})}{x^{4} - x^{2} + 1} d x$

Question Number 76143 Answers: 2 Comments: 1

Question Number 76090 Answers: 1 Comments: 1

Question Number 76053 Answers: 1 Comments: 2

how I calculate ∫(1/(x^8 +x^2 ))dx ?

$h o w I c a l c u l a t e \int \frac{1}{x^{8} + x^{2}} d x ?$

Question Number 76052 Answers: 0 Comments: 1

Question Number 76015 Answers: 0 Comments: 0

Question Number 76014 Answers: 0 Comments: 0

Question Number 75991 Answers: 1 Comments: 1

Question Number 75988 Answers: 0 Comments: 3

Question Number 75986 Answers: 1 Comments: 1

Question Number 75984 Answers: 1 Comments: 0

Question Number 75960 Answers: 1 Comments: 2

prove that ∫_0 ^(π/2) ln(sinx)dx=−(π/2)ln2

$p r o v e t h a t \int_{0}^{\frac{π}{2}} l n (s i n x) d x = - \frac{π}{2} l n 2$

Question Number 75951 Answers: 0 Comments: 0

give ∫_0 ^(π/2) (x^2 /(1−cosx))dx at form of serie.

$g i v e \int_{0}^{\frac{π}{2}} \frac{x^{2}}{1 - c o s x} d x a t f o r m o f$ $s e r i e .$

Question Number 75950 Answers: 0 Comments: 2

give ∫_0 ^(π/2) (x/(sinx))dx at form of serie.

$g i v e \int_{0}^{\frac{π}{2}} \frac{x}{s i n x} d x a t f o r m o f s e r i e .$

Question Number 75917 Answers: 0 Comments: 0

Question Number 75905 Answers: 0 Comments: 1

Question Number 75890 Answers: 0 Comments: 0

calculate ∫_0 ^∞ ((arctan(2x+3))/(x^2 +4))dx

$c a l c u l a t e \int_{0}^{\infty} \frac{a r c t a n (2 x + 3)}{x^{2} + 4} d x$

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