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 Bihar Board 12th Maths Objective Answers Chapter 7 Integrals

Bihar Board 12th Maths Objective Answers Chapter 7 Integrals

Question 1.
Evaluate: ∫(2tan x – 3cot x)2 dx
(a) -4tan x – 9cot x – 25x + C
(b) 4tan x – 9cot x – 25x + C
(c) -4tan x + 9 cot x + 25x + C
(d) 4tan x + 9cot x + 25x + C
Answer:
(b) 4tan x – 9cot x – 25x + C

Question 2.

Answer:
(a) axloga+xa+1a+1+aax+C

Question 3.

Answer:
(a) −14tan(7−4x)+C

Question 4.

Answer:
(a) 1(log2)3222x+C

Question 5.

Answer:
(b) −cos4x4+C

Question 6.

Answer:
(a) −3sinx√3+C

Question 7.
Evaluate: ∫tan(x – θ) tan(x + θ) tan2x dx
(a) 12 log|cos2x| – log|cos(x – θ)| + log|cos(x + θ)| + C
(b) –12 log|cos2x| + log|cos(x – θ)| + log|cos (x + θ)| + C
(c) –12 log|cos2x| – log|cos(x – θ)| – log|cos(x + θ)| + C
(d) None of these
Answer:
(b) –12 log|cos2x| + log|cos(x – θ)| + log|cos (x + θ)| + C

Question 8.

Answer:
(b) −2tanx√+23(tanx)3/2+C

Question 9.

Answer:
(b) −35tan−5/3x+3tan1/3x+C

Question 10.

Answer:
(c) 14log∣∣x4−9∣∣−112∣∣x2−3x2+3∣∣+C

Question 11.

Answer:
(b) −log∣∣e−x+e−2x−1−−−−−−−√∣∣+C

Question 12.

Answer:
(b) 1nlog∣∣xnxn+1∣∣+C

Question 13.

Answer:
(c) 2x−−√−3(x−−√3)+6(x−−√6)−6log(x−−√6+1)+C

Question 15.

Answer:
(b) −13log|1+tanθ|+16log∣∣tan2θ−tanθ+1∣∣

Question 16.

Answer:
(c) tanx2

Question 18.

Answer:
(a) excosx1+sinx+C

Question 19.

Answer:
(b) ex(x+2x+4)+C

Question 20.

Answer:
(b) +2log|(x+1)+x2+2x+5−−−−−−−−−√|+C

Question 21.
∫21x2dx
(a) 1
(b) 73
(c) 13
(d) 0
Answer:
(b) 73

Question 22.
∫20(x2+3)dx
(a) 253
(b) 263
(c) 243
(d) None of these
Answer:
(b) 263

Question 23.
Evaluate: ∫π/401−sin2x−−−−−−−−√dx
(a) √2 – 1
(b) √2 + 1
(c) √2
(d) None of these
Answer:
(a) √2 – 1

Question 24.
Evaluate: ∫2π0sin(π4+x2)dx
(a) -2√2
(b) -2
(c) √2
(d) 2√2
Answer:
(d) 2√2

Question 25.
Evaluate: ∫21dxx2
(a) 12
(b) 1
(c) 2
(d) -1
Answer:
(a) 12

Question 26.
Evaluate: ∫10sin−1(2x1+x2)dx
(a) π2 – log2
(b) π
(c) π4
(d) π2 – log2
Answer:
(a) π2 – log2

Question 27.

Answer:
(c) 4−π42√

Question 29.

Answer:
(c) 25√tan−1(15√)

Question 30.

Answer:
(c) 15√log(3+5√2)

Question 31.

Answer:
(a) 821

Question 33.

Answer:
(b) 12+1π+2−A

Question 35.

Answer:
(d) π2

Question 36.

Answer:
(c) cosec(b−a)log∣∣sin(x−b)sin(x−a)∣∣+C

Question 38.

Answer:
(d) x−x22+x33−log|1+x|+C

Question 40.

Answer:
(a) 1